45916317720 has 1536 divisors, whose sum is σ = 207466721280. Its totient is φ = 8868372480.

The previous prime is 45916317703. The next prime is 45916317721. The reversal of 45916317720 is 2771361954.

45916317720 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 631 + 7 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45916317721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 752726490 + ... + 752726550.

It is an arithmetic number, because the mean of its divisors is an integer number (135069480).

Almost surely, 2^45916317720 is an apocalyptic number.

45916317720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45916317720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103733360640).

45916317720 is an abundant number, since it is smaller than the sum of its proper divisors (161550403560).

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

45916317720 is a wasteful number, since it uses less digits than its factorization.

45916317720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 45916317720 in words is "forty-five billion, nine hundred sixteen million, three hundred seventeen thousand, seven hundred twenty".