45465606288 has 160 divisors (see below), whose sum is σ = 133211513600. Its totient is φ = 14842828800.

The previous prime is 45465606281. The next prime is 45465606299. The reversal of 45465606288 is 88260656454.

45465606288 is a `hidden beast` number, since 4 + 5 + 4 + 6 + 5 + 6 + 0 + 628 + 8 = 666.

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 (45465606281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6347253 + ... + 6354411.

It is an arithmetic number, because the mean of its divisors is an integer number (832571960).

Almost surely, 2^45465606288 is an apocalyptic number.

45465606288 is a gapful number since it is divisible by the number (48) 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 45465606288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66605756800).

45465606288 is an abundant number, since it is smaller than the sum of its proper divisors (87745907312).

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

45465606288 is a wasteful number, since it uses less digits than its factorization.

45465606288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 45465606288 in words is "forty-five billion, four hundred sixty-five million, six hundred six thousand, two hundred eighty-eight".