46540444404564 has 192 divisors, whose sum is σ = 135356816689920. Its totient is φ = 13704770972160.

The previous prime is 46540444404523. The next prime is 46540444404593.

46540444404564 is a `hidden beast` number, since 4 + 6 + 540 + 4 + 4 + 4 + 40 + 4 + 56 + 4 = 666.

46540444404564 is nontrivially palindromic in base 10.

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 46540444404564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34368694 + ... + 35697170.

It is an arithmetic number, because the mean of its divisors is an integer number (704983420260).

Almost surely, 2^{46540444404564} is an apocalyptic number.

46540444404564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46540444404564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67678408344960).

46540444404564 is an abundant number, since it is smaller than the sum of its proper divisors (88816372285356).

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

46540444404564 is a wasteful number, since it uses less digits than its factorization.

46540444404564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329335 (or 1329327 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 54.

The spelling of 46540444404564 in words is "forty-six trillion, five hundred forty billion, four hundred forty-four million, four hundred four thousand, five hundred sixty-four".