45825822720 has 156 divisors (see below), whose sum is σ = 158844098556. Its totient is φ = 12220170240.

The previous prime is 45825822683. The next prime is 45825822737. The reversal of 45825822720 is 2722852854.

45825822720 is a `hidden beast` number, since 45 + 8 + 2 + 582 + 2 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19752615936 + 26073206784 = 140544^2 + 161472^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60010 + ... + 308630.

It is an arithmetic number, because the mean of its divisors is an integer number (1018231401).

Almost surely, 2^45825822720 is an apocalyptic number.

45825822720 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 45825822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79422049278).

45825822720 is an abundant number, since it is smaller than the sum of its proper divisors (113018275836).

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

45825822720 is a wasteful number, since it uses less digits than its factorization.

45825822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248656 (or 248631 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 45825822720 in words is "forty-five billion, eight hundred twenty-five million, eight hundred twenty-two thousand, seven hundred twenty".