46216566561264 has 80 divisors (see below), whose sum is σ = 130327739562240. Its totient is φ = 13996304903680.

The previous prime is 46216566561247. The next prime is 46216566561287.

46216566561264 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46216566561198 and 46216566561207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26385909 + ... + 28082900.

It is an arithmetic number, because the mean of its divisors is an integer number (1629096744528).

Almost surely, 2^{46216566561264} is an apocalyptic number.

46216566561264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46216566561264 is an abundant number, since it is smaller than the sum of its proper divisors (84111173000976).

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

46216566561264 is a wasteful number, since it uses less digits than its factorization.

46216566561264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54470438 (or 54470432 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 60.

The spelling of 46216566561264 in words is "forty-six trillion, two hundred sixteen billion, five hundred sixty-six million, five hundred sixty-one thousand, two hundred sixty-four".