45344433444354 has 64 divisors (see below), whose sum is σ = 111474151464960. Its totient is φ = 13547205882000.

The previous prime is 45344433444347. The next prime is 45344433444367.

45344433444354 is a `hidden beast` number, since 4 + 534 + 4 + 4 + 3 + 34 + 44 + 35 + 4 = 666.

45344433444354 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45344433444354² (a number of 28 digits) contains 22 as substring.

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 45344433444354.

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, 537545362 + ... + 537629709.

It is an arithmetic number, because the mean of its divisors is an integer number (1741783616640).

Almost surely, 2^{45344433444354} is an apocalyptic number.

45344433444354 is an abundant number, since it is smaller than the sum of its proper divisors (66129718020606).

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

45344433444354 is a wasteful number, since it uses less digits than its factorization.

45344433444354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075175164 (or 1075175158 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

It can be divided in two parts, 4534443 and 3444354, that added together give a palindrome (7978797).

The spelling of 45344433444354 in words is "forty-five trillion, three hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, three hundred fifty-four".