45754132464 has 120 divisors (see below), whose sum is σ = 131049893520. Its totient is φ = 14897980416.

The previous prime is 45754132423. The next prime is 45754132493. The reversal of 45754132464 is 46423145754.

45754132464 is a `hidden beast` number, since 4 + 5 + 7 + 54 + 132 + 464 = 666.

45754132464 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 2×45754132464² (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 23 ways as a sum of consecutive naturals, for example, 1042222 + ... + 1085234.

It is an arithmetic number, because the mean of its divisors is an integer number (1092082446).

Almost surely, 2^45754132464 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 45754132464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65524946760).

45754132464 is an abundant number, since it is smaller than the sum of its proper divisors (85295761056).

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

45754132464 is a wasteful number, since it uses less digits than its factorization.

45754132464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43199 (or 43190 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 45754132464 in words is "forty-five billion, seven hundred fifty-four million, one hundred thirty-two thousand, four hundred sixty-four".