45144246525 has 192 divisors, whose sum is σ = 91608422400. Its totient is φ = 19160064000.

The previous prime is 45144246431. The next prime is 45144246529. The reversal of 45144246525 is 52564244154.

45144246525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45144246525 - 2⁷ = 45144246397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144246529) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187320405 + ... + 187320645.

It is an arithmetic number, because the mean of its divisors is an integer number (477127200).

Almost surely, 2^45144246525 is an apocalyptic number.

It is an amenable number.

45144246525 is an abundant number, since it is smaller than the sum of its proper divisors (46464175875).

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

45144246525 is a wasteful number, since it uses less digits than its factorization.

45144246525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its digits is 768000, while the sum is 42.

The spelling of 45144246525 in words is "forty-five billion, one hundred forty-four million, two hundred forty-six thousand, five hundred twenty-five".