646456364309952 has 896 divisors, whose sum is σ = 2332426648320000. Its totient is φ = 171482879361024.

The previous prime is 646456364309809. The next prime is 646456364310007. The reversal of 646456364309952 is 259903463654646.

646456364309952 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 56 + 3 + 6 + 430 + 99 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2311200124 + ... + 2311479812.

Almost surely, 2^{646456364309952} 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 646456364309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166213324160000).

646456364309952 is an abundant number, since it is smaller than the sum of its proper divisors (1685970284010048).

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

646456364309952 is a wasteful number, since it uses less digits than its factorization.

646456364309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279938 (or 279922 counting only the distinct ones).

The product of its (nonzero) digits is 3023308800, while the sum is 72.

The spelling of 646456364309952 in words is "six hundred forty-six trillion, four hundred fifty-six billion, three hundred sixty-four million, three hundred nine thousand, nine hundred fifty-two".