45366107472 has 150 divisors (see below), whose sum is σ = 148114756842. Its totient is φ = 12961646208.

The previous prime is 45366107441. The next prime is 45366107509. The reversal of 45366107472 is 27470166354.

45366107472 is a `hidden beast` number, since 4 + 536 + 6 + 107 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45307676736 + 58430736 = 212856^2 + 7644^2 .

It is a super-2 number, since 2×45366107472² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 280138 + ... + 411350.

Almost surely, 2^45366107472 is an apocalyptic number.

45366107472 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 45366107472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74057378421).

45366107472 is an abundant number, since it is smaller than the sum of its proper divisors (102748649370).

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

45366107472 is a wasteful number, since it uses less digits than its factorization.

45366107472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131255 (or 131225 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45366107472 in words is "forty-five billion, three hundred sixty-six million, one hundred seven thousand, four hundred seventy-two".