3656432614464 has 168 divisors, whose sum is σ = 11979882332288. Its totient is φ = 1044506327040.

The previous prime is 3656432614423. The next prime is 3656432614469. The reversal of 3656432614464 is 4644162346563.

3656432614464 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 432 + 6 + 144 + 64 = 666.

3656432614464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 3656432614464.

It is not an unprimeable number, because it can be changed into a prime (3656432614469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23052549 + ... + 23210619.

Almost surely, 2^{3656432614464} 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 3656432614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989941166144).

3656432614464 is an abundant number, since it is smaller than the sum of its proper divisors (8323449717824).

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

3656432614464 is a wasteful number, since it uses less digits than its factorization.

3656432614464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163833 (or 163820 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 3656432614464 in words is "three trillion, six hundred fifty-six billion, four hundred thirty-two million, six hundred fourteen thousand, four hundred sixty-four".