46531444413564 has 192 divisors, whose sum is σ = 137711165921280. Its totient is φ = 13460488554240.

The previous prime is 46531444413529. The next prime is 46531444413581.

46531444413564 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 1 + 4 + 444 + 135 + 64 = 666.

46531444413564 is nontrivially palindromic in base 10.

46531444413564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46531444413564.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7657044 + ... + 12316379.

It is an arithmetic number, because the mean of its divisors is an integer number (717245655840).

Almost surely, 2^{46531444413564} is an apocalyptic number.

46531444413564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46531444413564 is an abundant number, since it is smaller than the sum of its proper divisors (91179721507716).

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

46531444413564 is a wasteful number, since it uses less digits than its factorization.

46531444413564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19973537 (or 19973529 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 46531444413564 in words is "forty-six trillion, five hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, five hundred sixty-four".