45225050112 has 320 divisors, whose sum is σ = 147493071000. Its totient is φ = 13695713280.

The previous prime is 45225050099. The next prime is 45225050113. The reversal of 45225050112 is 21105052254.

45225050112 is a `hidden beast` number, since 45 + 2 + 2 + 505 + 0 + 112 = 666.

It is a super-2 number, since 2×45225050112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45225050113) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 29195514 + ... + 29197062.

Almost surely, 2^45225050112 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 45225050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73746535500).

45225050112 is an abundant number, since it is smaller than the sum of its proper divisors (102268020888).

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

45225050112 is an equidigital number, since it uses as much as digits as its factorization.

45225050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 45225050112 in words is "forty-five billion, two hundred twenty-five million, fifty thousand, one hundred twelve".