45825649280 has 128 divisors (see below), whose sum is σ = 112984502400. Its totient is φ = 17764741120.

The previous prime is 45825649237. The next prime is 45825649297. The reversal of 45825649280 is 8294652854.

45825649280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2672414 + ... + 2689506.

It is an arithmetic number, because the mean of its divisors is an integer number (882691425).

Almost surely, 2^45825649280 is an apocalyptic number.

45825649280 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 45825649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56492251200).

45825649280 is an abundant number, since it is smaller than the sum of its proper divisors (67158853120).

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

45825649280 is a wasteful number, since it uses less digits than its factorization.

45825649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17242 (or 17230 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 45825649280 in words is "forty-five billion, eight hundred twenty-five million, six hundred forty-nine thousand, two hundred eighty".