45737315712 has 768 divisors, whose sum is σ = 164135462400. Its totient is φ = 12408422400.

The previous prime is 45737315699. The next prime is 45737315747. The reversal of 45737315712 is 21751373754.

45737315712 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 73 + 1 + 571 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252692262 + ... + 252692442.

It is an arithmetic number, because the mean of its divisors is an integer number (213718050).

Almost surely, 2^45737315712 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 45737315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82067731200).

45737315712 is an abundant number, since it is smaller than the sum of its proper divisors (118398146688).

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

45737315712 is a wasteful number, since it uses less digits than its factorization.

45737315712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 237 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The spelling of 45737315712 in words is "forty-five billion, seven hundred thirty-seven million, three hundred fifteen thousand, seven hundred twelve".