45364323264 has 112 divisors (see below), whose sum is σ = 130246892160. Its totient is φ = 13851601920.

The previous prime is 45364323247. The next prime is 45364323271. The reversal of 45364323264 is 46232346354.

45364323264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45364323264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257607 + ... + 396345.

It is an arithmetic number, because the mean of its divisors is an integer number (1162918680).

Almost surely, 2^45364323264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45364323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65123446080).

45364323264 is an abundant number, since it is smaller than the sum of its proper divisors (84882568896).

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

45364323264 is a wasteful number, since it uses less digits than its factorization.

45364323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138898 (or 138888 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 42.

The spelling of 45364323264 in words is "forty-five billion, three hundred sixty-four million, three hundred twenty-three thousand, two hundred sixty-four".