64112158656 has 336 divisors, whose sum is σ = 227719128000. Its totient is φ = 16793174016.

The previous prime is 64112158613. The next prime is 64112158661. The reversal of 64112158656 is 65685121146.

64112158656 is a `hidden beast` number, since 6 + 4 + 1 + 12 + 1 + 586 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×64112158656² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7805880 + ... + 7814088.

It is an arithmetic number, because the mean of its divisors is an integer number (677735500).

Almost surely, 2^64112158656 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 64112158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113859564000).

64112158656 is an abundant number, since it is smaller than the sum of its proper divisors (163606969344).

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

64112158656 is a wasteful number, since it uses less digits than its factorization.

64112158656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8383 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 64112158656 in words is "sixty-four billion, one hundred twelve million, one hundred fifty-eight thousand, six hundred fifty-six".