45209881120 has 48 divisors (see below), whose sum is σ = 108271500120. Its totient is φ = 17836222464.

The previous prime is 45209881109. The next prime is 45209881127. The reversal of 45209881120 is 2118890254.

45209881120 = 24850² + 24851² + ... + 24922².

It can be written as a sum of positive squares in 4 ways, for example, as 27464444176 + 17745436944 = 165724^2 + 133212^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45209881127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1923675 + ... + 1947034.

Almost surely, 2^45209881120 is an apocalyptic number.

45209881120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45209881120 is an abundant number, since it is smaller than the sum of its proper divisors (63061619000).

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

45209881120 is a wasteful number, since it uses less digits than its factorization.

45209881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870797 (or 3870789 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 45209881120 in words is "forty-five billion, two hundred nine million, eight hundred eighty-one thousand, one hundred twenty".