45095162112 has 432 divisors, whose sum is σ = 174581866368. Its totient is φ = 10811473920.

The previous prime is 45095162089. The next prime is 45095162141. The reversal of 45095162112 is 21126159054.

45095162112 is a `hidden beast` number, since 450 + 95 + 1 + 6 + 2 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2296528 + ... + 2316080.

Almost surely, 2^45095162112 is an apocalyptic number.

45095162112 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 45095162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87290933184).

45095162112 is an abundant number, since it is smaller than the sum of its proper divisors (129486704256).

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

45095162112 is a wasteful number, since it uses less digits than its factorization.

45095162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19606 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 45095162112 in words is "forty-five billion, ninety-five million, one hundred sixty-two thousand, one hundred twelve".