45465256800 has 288 divisors, whose sum is σ = 165139430400. Its totient is φ = 12071969280.

The previous prime is 45465256747. The next prime is 45465256817. The reversal of 45465256800 is 865256454.

45465256800 is a `hidden beast` number, since 4 + 5 + 46 + 525 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5157997 + ... + 5166803.

It is an arithmetic number, because the mean of its divisors is an integer number (573400800).

Almost surely, 2^45465256800 is an apocalyptic number.

45465256800 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 45465256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82569715200).

45465256800 is an abundant number, since it is smaller than the sum of its proper divisors (119674173600).

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

45465256800 is a wasteful number, since it uses less digits than its factorization.

45465256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9075 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45465256800 in words is "forty-five billion, four hundred sixty-five million, two hundred fifty-six thousand, eight hundred".