45092891952 has 180 divisors, whose sum is σ = 134407525096. Its totient is φ = 14109880320.

The previous prime is 45092891941. The next prime is 45092891981. The reversal of 45092891952 is 25919829054.

45092891952 is a `hidden beast` number, since 4 + 509 + 2 + 89 + 1 + 9 + 52 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19017327 + ... + 19019697.

Almost surely, 2^45092891952 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 45092891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67203762548).

45092891952 is an abundant number, since it is smaller than the sum of its proper divisors (89314633144).

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

45092891952 is a wasteful number, since it uses less digits than its factorization.

45092891952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 45092891952 in words is "forty-five billion, ninety-two million, eight hundred ninety-one thousand, nine hundred fifty-two".