238053064704 has 768 divisors, whose sum is σ = 828949593600. Its totient is φ = 59378761728.

The previous prime is 238053064661. The next prime is 238053064807. The reversal of 238053064704 is 407460350832.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×238053064704² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2674753492 + ... + 2674753580.

It is an arithmetic number, because the mean of its divisors is an integer number (1079361450).

Almost surely, 2^238053064704 is an apocalyptic number.

238053064704 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 238053064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414474796800).

238053064704 is an abundant number, since it is smaller than the sum of its proper divisors (590896528896).

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

238053064704 is an equidigital number, since it uses as much as digits as its factorization.

238053064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 238053064704 in words is "two hundred thirty-eight billion, fifty-three million, sixty-four thousand, seven hundred four".