238132780992864 has 72 divisors (see below), whose sum is σ = 689967267614352. Its totient is φ = 77879903212800.

The previous prime is 238132780992857. The next prime is 238132780992881. The reversal of 238132780992864 is 468299087231832.

238132780992864 is a `hidden beast` number, since 2 + 3 + 81 + 327 + 80 + 9 + 92 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 238132780992792 and 238132780992801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7800455812 + ... + 7800486339.

It is an arithmetic number, because the mean of its divisors is an integer number (9582878716866).

Almost surely, 2^{238132780992864} is an apocalyptic number.

238132780992864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238132780992864 is an abundant number, since it is smaller than the sum of its proper divisors (451834486621488).

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

238132780992864 is a wasteful number, since it uses less digits than its factorization.

238132780992864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15600942220 (or 15600942209 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 238132780992864 in words is "two hundred thirty-eight trillion, one hundred thirty-two billion, seven hundred eighty million, nine hundred ninety-two thousand, eight hundred sixty-four".