68634332053056 has 567 divisors, whose sum is σ = 251598434377563. Its totient is φ = 17823122634240.

The previous prime is 68634332053003. The next prime is 68634332053073. The reversal of 68634332053056 is 65035023343686.

The square root of 68634332053056 is 8284584.

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

68634332053056 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 4 + 3 + 320 + 5 + 305 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68634332052993 and 68634332053011.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15309908991 + ... + 15309913473.

Almost surely, 2^{68634332053056} is an apocalyptic number.

68634332053056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

68634332053056 is the 8284584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68634332053056

68634332053056 is an abundant number, since it is smaller than the sum of its proper divisors (182964102324507).

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

68634332053056 is an equidigital number, since it uses as much as digits as its factorization.

68634332053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 68634332053056 in words is "sixty-eight trillion, six hundred thirty-four billion, three hundred thirty-two million, fifty-three thousand, fifty-six".