45290472192 has 504 divisors, whose sum is σ = 159263950496. Its totient is φ = 12576964608.

The previous prime is 45290472179. The next prime is 45290472223. The reversal of 45290472192 is 29127409254.

45290472192 is a `hidden beast` number, since 4 + 5 + 2 + 90 + 472 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 55 ways as a sum of consecutive naturals, for example, 48335148 + ... + 48336084.

Almost surely, 2^45290472192 is an apocalyptic number.

45290472192 is a gapful number since it is divisible by the number (42) 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 45290472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79631975248).

45290472192 is an abundant number, since it is smaller than the sum of its proper divisors (113973478304).

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

45290472192 is an frugal number, since it uses more digits than its factorization.

45290472192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 45290472192 in words is "forty-five billion, two hundred ninety million, four hundred seventy-two thousand, one hundred ninety-two".