45615757824 has 1120 divisors, whose sum is σ = 180333457920. Its totient is φ = 11179524096.

The previous prime is 45615757823. The next prime is 45615757879. The reversal of 45615757824 is 42875751654.

It is a happy number.

45615757824 is a `hidden beast` number, since 4 + 5 + 61 + 5 + 7 + 578 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45615757823) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 577414617 + ... + 577414695.

It is an arithmetic number, because the mean of its divisors is an integer number (161012016).

Almost surely, 2^45615757824 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 45615757824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90166728960).

45615757824 is an abundant number, since it is smaller than the sum of its proper divisors (134717700096).

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

45615757824 is an equidigital number, since it uses as much as digits as its factorization.

45615757824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 45615757824 in words is "forty-five billion, six hundred fifteen million, seven hundred fifty-seven thousand, eight hundred twenty-four".