46512777721564 has 48 divisors (see below), whose sum is σ = 102705103984896. Its totient is φ = 17903525760000.

The previous prime is 46512777721511. The next prime is 46512777721601.

46512777721564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46512777721564² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46512777721496 and 46512777721505.

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, 909706437 + ... + 909757564.

It is an arithmetic number, because the mean of its divisors is an integer number (2139689666352).

Almost surely, 2^{46512777721564} is an apocalyptic number.

46512777721564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46512777721564 is an abundant number, since it is smaller than the sum of its proper divisors (56192326263332).

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

46512777721564 is a wasteful number, since it uses less digits than its factorization.

46512777721564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819464106 (or 1819464104 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 64.

The spelling of 46512777721564 in words is "forty-six trillion, five hundred twelve billion, seven hundred seventy-seven million, seven hundred twenty-one thousand, five hundred sixty-four".