45628111872 has 330 divisors, whose sum is σ = 155949188408. Its totient is φ = 12587065344.

The previous prime is 45628111871. The next prime is 45628111927. The reversal of 45628111872 is 27811182654.

45628111872 is a `hidden beast` number, since 4 + 5 + 628 + 1 + 1 + 18 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45628111871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1573383154 + ... + 1573383182.

Almost surely, 2^45628111872 is an apocalyptic number.

45628111872 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 45628111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77974594204).

45628111872 is an abundant number, since it is smaller than the sum of its proper divisors (110321076536).

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

45628111872 is an frugal number, since it uses more digits than its factorization.

45628111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 41 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 45628111872 in words is "forty-five billion, six hundred twenty-eight million, one hundred eleven thousand, eight hundred seventy-two".