45609152832 has 336 divisors, whose sum is σ = 143573601600. Its totient is φ = 13787504640.

The previous prime is 45609152819. The next prime is 45609152833. The reversal of 45609152832 is 23825190654.

45609152832 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 91 + 528 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45609152833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41575708 + ... + 41576804.

Almost surely, 2^45609152832 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 45609152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71786800800).

45609152832 is an abundant number, since it is smaller than the sum of its proper divisors (97964448768).

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

45609152832 is a wasteful number, since it uses less digits than its factorization.

45609152832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45609152832 in words is "forty-five billion, six hundred nine million, one hundred fifty-two thousand, eight hundred thirty-two".