45669381120 has 1056 divisors, whose sum is σ = 185406713856. Its totient is φ = 10683187200.

The previous prime is 45669381097. The next prime is 45669381137. The reversal of 45669381120 is 2118396654.

45669381120 is a `hidden beast` number, since 4 + 566 + 9 + 3 + 81 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 643230685 + ... + 643230755.

Almost surely, 2^45669381120 is an apocalyptic number.

45669381120 is a gapful number since it is divisible by the number (40) 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 45669381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92703356928).

45669381120 is an abundant number, since it is smaller than the sum of its proper divisors (139737332736).

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

45669381120 is a wasteful number, since it uses less digits than its factorization.

45669381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 45669381120 in words is "forty-five billion, six hundred sixty-nine million, three hundred eighty-one thousand, one hundred twenty".