45811444411854 has 64 divisors (see below), whose sum is σ = 111061517160960. Its totient is φ = 13881822120000.

The previous prime is 45811444411787. The next prime is 45811444411877.

45811444411854 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 14 + 4 + 441 + 185 + 4 = 666.

45811444411854 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 45811444411854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18081279 + ... + 20458629.

It is an arithmetic number, because the mean of its divisors is an integer number (1735336205640).

Almost surely, 2^{45811444411854} is an apocalyptic number.

45811444411854 is an abundant number, since it is smaller than the sum of its proper divisors (65250072749106).

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

45811444411854 is a wasteful number, since it uses less digits than its factorization.

45811444411854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409814 (or 2409808 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 54.

It can be divided in two parts, 4581144 and 4411854, that added together give a palindrome (8992998).

The spelling of 45811444411854 in words is "forty-five trillion, eight hundred eleven billion, four hundred forty-four million, four hundred eleven thousand, eight hundred fifty-four".