45189928512 has 112 divisors (see below), whose sum is σ = 134490561600. Its totient is φ = 15063262848.

The previous prime is 45189928471. The next prime is 45189928517. The reversal of 45189928512 is 21582998154.

45189928512 is a `hidden beast` number, since 4 + 5 + 18 + 99 + 28 + 512 = 666.

It is a super-4 number, since 4×45189928512⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45189928517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21462 + ... + 301397.

Almost surely, 2^45189928512 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 45189928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67245280800).

45189928512 is an abundant number, since it is smaller than the sum of its proper divisors (89300633088).

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

45189928512 is an frugal number, since it uses more digits than its factorization.

45189928512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322892 (or 322864 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 45189928512 in words is "forty-five billion, one hundred eighty-nine million, nine hundred twenty-eight thousand, five hundred twelve".