238390656000 has 704 divisors, whose sum is σ = 914525973504. Its totient is φ = 53993472000.

The previous prime is 238390655981. The next prime is 238390656043. The reversal of 238390656000 is 656093832.

It is a super-2 number, since 2×238390656000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352127662 + ... + 352128338.

It is an arithmetic number, because the mean of its divisors is an integer number (1299042576).

Almost surely, 2^238390656000 is an apocalyptic number.

238390656000 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 238390656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457262986752).

238390656000 is an abundant number, since it is smaller than the sum of its proper divisors (676135317504).

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

238390656000 is a wasteful number, since it uses less digits than its factorization.

238390656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 238390656000 in words is "two hundred thirty-eight billion, three hundred ninety million, six hundred fifty-six thousand".