238792052268 has 240 divisors, whose sum is σ = 803393783808. Its totient is φ = 60022944000.

The previous prime is 238792052267. The next prime is 238792052273. The reversal of 238792052268 is 862250297832.

238792052268 is a `hidden beast` number, since 2 + 38 + 7 + 9 + 20 + 522 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (238792052267) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 619008 + ... + 927768.

Almost surely, 2^238792052268 is an apocalyptic number.

238792052268 is a gapful number since it is divisible by the number (28) 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 238792052268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401696891904).

238792052268 is an abundant number, since it is smaller than the sum of its proper divisors (564601731540).

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

238792052268 is a wasteful number, since it uses less digits than its factorization.

238792052268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308826 (or 308815 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 238792052 and 268, that multiplied together give a palindrome (63996269936).

The spelling of 238792052268 in words is "two hundred thirty-eight billion, seven hundred ninety-two million, fifty-two thousand, two hundred sixty-eight".