646346649102336 has 1152 divisors, whose sum is σ = 2400386828112000. Its totient is φ = 170334668980224.

The previous prime is 646346649102311. The next prime is 646346649102347. The reversal of 646346649102336 is 633201946643646.

646346649102336 is a `hidden beast` number, since 6 + 4 + 6 + 34 + 66 + 491 + 0 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51391156080 + ... + 51391168656.

It is an arithmetic number, because the mean of its divisors is an integer number (2083669121625).

Almost surely, 2^{646346649102336} 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 646346649102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200193414056000).

646346649102336 is an abundant number, since it is smaller than the sum of its proper divisors (1754040179009664).

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

646346649102336 is a wasteful number, since it uses less digits than its factorization.

646346649102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14094 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 63.

The spelling of 646346649102336 in words is "six hundred forty-six trillion, three hundred forty-six billion, six hundred forty-nine million, one hundred two thousand, three hundred thirty-six".