45664724160 has 448 divisors, whose sum is σ = 180041702400. Its totient is φ = 10799308800.

The previous prime is 45664724143. The next prime is 45664724177. The reversal of 45664724160 is 6142746654.

45664724160 is a `hidden beast` number, since 4 + 566 + 4 + 7 + 24 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (45664724143) and next prime (45664724177).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3890781 + ... + 3902499.

It is an arithmetic number, because the mean of its divisors is an integer number (401878800).

Almost surely, 2^45664724160 is an apocalyptic number.

45664724160 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 45664724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90020851200).

45664724160 is an abundant number, since it is smaller than the sum of its proper divisors (134376978240).

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

45664724160 is a wasteful number, since it uses less digits than its factorization.

45664724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11797 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45664724160 in words is "forty-five billion, six hundred sixty-four million, seven hundred twenty-four thousand, one hundred sixty".