45915716592 has 320 divisors, whose sum is σ = 140455296000. Its totient is φ = 14331727872.

The previous prime is 45915716579. The next prime is 45915716599. The reversal of 45915716592 is 29561751954.

45915716592 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 571 + 65 + 9 + 2 = 666.

45915716592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45915716599) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121149459 + ... + 121149837.

It is an arithmetic number, because the mean of its divisors is an integer number (438922800).

Almost surely, 2^45915716592 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 45915716592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227648000).

45915716592 is an abundant number, since it is smaller than the sum of its proper divisors (94539579408).

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

45915716592 is a wasteful number, since it uses less digits than its factorization.

45915716592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 45915716592 in words is "forty-five billion, nine hundred fifteen million, seven hundred sixteen thousand, five hundred ninety-two".