45331405344 has 72 divisors (see below), whose sum is σ = 128943792432. Its totient is φ = 15106646400.

The previous prime is 45331405333. The next prime is 45331405363. The reversal of 45331405344 is 44350413354.

45331405344 is a `hidden beast` number, since 4 + 53 + 31 + 40 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45331405299 and 45331405308.

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 11 ways as a sum of consecutive naturals, for example, 1264207 + ... + 1299569.

It is an arithmetic number, because the mean of its divisors is an integer number (1790886006).

Almost surely, 2^45331405344 is an apocalyptic number.

It is an amenable number.

45331405344 is an abundant number, since it is smaller than the sum of its proper divisors (83612387088).

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

45331405344 is a wasteful number, since it uses less digits than its factorization.

45331405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39830 (or 39819 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 45331405344 its reverse (44350413354), we get a palindrome (89681818698).

The spelling of 45331405344 in words is "forty-five billion, three hundred thirty-one million, four hundred five thousand, three hundred forty-four".