101656594061568 has 864 divisors, whose sum is σ = 391975722844160. Its totient is φ = 24580082810880.

The previous prime is 101656594061507. The next prime is 101656594061591. The reversal of 101656594061568 is 865160495656101.

It is a happy number.

101656594061568 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 5 + 6 + 5 + 9 + 4 + 0 + 61 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123080505 + ... + 123903687.

Almost surely, 2^{101656594061568} is an apocalyptic number.

101656594061568 is a gapful number since it is divisible by the number (18) 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 101656594061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195987861422080).

101656594061568 is an abundant number, since it is smaller than the sum of its proper divisors (290319128782592).

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

101656594061568 is a wasteful number, since it uses less digits than its factorization.

101656594061568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823275 (or 823258 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 101656594061568 in words is "one hundred one trillion, six hundred fifty-six billion, five hundred ninety-four million, sixty-one thousand, five hundred sixty-eight".