238748678784 has 1152 divisors, whose sum is σ = 936007488000. Its totient is φ = 57753077760.

The previous prime is 238748678771. The next prime is 238748678821. The reversal of 238748678784 is 487876847832.

238748678784 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 486 + 78 + 78 + 4 = 666.

238748678784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×238748678784² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (809238528) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4046587747 + ... + 4046587805.

It is an arithmetic number, because the mean of its divisors is an integer number (812506500).

Almost surely, 2^238748678784 is an apocalyptic number.

238748678784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238748678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468003744000).

238748678784 is an abundant number, since it is smaller than the sum of its proper divisors (697258809216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238748678784 is an equidigital number, since it uses as much as digits as its factorization.

238748678784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its digits is 809238528, while the sum is 72.

The spelling of 238748678784 in words is "two hundred thirty-eight billion, seven hundred forty-eight million, six hundred seventy-eight thousand, seven hundred eighty-four".