46202844820264 has 64 divisors (see below), whose sum is σ = 100296083139840. Its totient is φ = 19720273858560.

The previous prime is 46202844820259. The next prime is 46202844820373.

It is a happy number.

46202844820264 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

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, 35015344 + ... + 36310879.

It is an arithmetic number, because the mean of its divisors is an integer number (1567126299060).

Almost surely, 2^{46202844820264} is an apocalyptic number.

46202844820264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46202844820264 is an abundant number, since it is smaller than the sum of its proper divisors (54093238319576).

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

46202844820264 is a wasteful number, since it uses less digits than its factorization.

46202844820264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71326690 (or 71326686 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 52.

The spelling of 46202844820264 in words is "forty-six trillion, two hundred two billion, eight hundred forty-four million, eight hundred twenty thousand, two hundred sixty-four".