238864403291472 has 560 divisors, whose sum is σ = 794814953730048. Its totient is φ = 68091708222720.

The previous prime is 238864403291471. The next prime is 238864403291489. The reversal of 238864403291472 is 274192304468832.

238864403291472 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 6 + 4 + 40 + 32 + 91 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238864403291471) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 95431242573 + ... + 95431245075.

Almost surely, 2^{238864403291472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238864403291472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397407476865024).

238864403291472 is an abundant number, since it is smaller than the sum of its proper divisors (555950550438576).

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

238864403291472 is a wasteful number, since it uses less digits than its factorization.

238864403291472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 238864403291472 in words is "two hundred thirty-eight trillion, eight hundred sixty-four billion, four hundred three million, two hundred ninety-one thousand, four hundred seventy-two".