238135956480 has 880 divisors, whose sum is σ = 913786695360. Its totient is φ = 59337474048.

The previous prime is 238135956473. The next prime is 238135956491. The reversal of 238135956480 is 84659531832.

238135956480 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 3 + 595 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 1713208251 + ... + 1713208389.

It is an arithmetic number, because the mean of its divisors is an integer number (1038393972).

Almost surely, 2^238135956480 is an apocalyptic number.

238135956480 is a gapful number since it is divisible by the number (20) 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 238135956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456893347680).

238135956480 is an abundant number, since it is smaller than the sum of its proper divisors (675650738880).

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

238135956480 is an frugal number, since it uses more digits than its factorization.

238135956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 238135956480 in words is "two hundred thirty-eight billion, one hundred thirty-five million, nine hundred fifty-six thousand, four hundred eighty".