238077636624 has 135 divisors (see below), whose sum is σ = 676753959063. Its totient is φ = 78131575296.

The previous prime is 238077636611. The next prime is 238077636647. The reversal of 238077636624 is 426636770832.

The square root of 238077636624 is 487932.

It is a perfect power (a square), and thus also a powerful number.

238077636624 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 7 + 7 + 6 + 3 + 6 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39018891024 + 199058745600 = 197532^2 + 446160^2 .

It is a super-2 number, since 2×238077636624² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 427428154 + ... + 427428710.

Almost surely, 2^238077636624 is an apocalyptic number.

238077636624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

238077636624 is the 487932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238077636624

238077636624 is an abundant number, since it is smaller than the sum of its proper divisors (438676322439).

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

238077636624 is an frugal number, since it uses more digits than its factorization.

238077636624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 238077636624 in words is "two hundred thirty-eight billion, seventy-seven million, six hundred thirty-six thousand, six hundred twenty-four".