45652700160 has 528 divisors, whose sum is σ = 165541708800. Its totient is φ = 11618353152.

The previous prime is 45652700113. The next prime is 45652700251. The reversal of 45652700160 is 6100725654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169712506 + ... + 169712774.

Almost surely, 2^45652700160 is an apocalyptic number.

45652700160 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 45652700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82770854400).

45652700160 is an abundant number, since it is smaller than the sum of its proper divisors (119889008640).

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

45652700160 is a wasteful number, since it uses less digits than its factorization.

45652700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 45652700160 in words is "forty-five billion, six hundred fifty-two million, seven hundred thousand, one hundred sixty".