45129014560575 has 192 divisors, whose sum is σ = 92559704371200. Its totient is φ = 21368168841600.

The previous prime is 45129014560543. The next prime is 45129014560579. The reversal of 45129014560575 is 57506541092154.

45129014560575 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 9 + 0 + 1 + 4 + 5 + 60 + 575 = 666.

It is not a de Polignac number, because 45129014560575 - 2⁵ = 45129014560543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45129014560579) 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, 2945942766 + ... + 2945958084.

It is an arithmetic number, because the mean of its divisors is an integer number (482081793600).

Almost surely, 2^{45129014560575} is an apocalyptic number.

45129014560575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45129014560575 is an abundant number, since it is smaller than the sum of its proper divisors (47430689810625).

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

45129014560575 is a wasteful number, since it uses less digits than its factorization.

45129014560575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24619 (or 24608 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 45129014560575 in words is "forty-five trillion, one hundred twenty-nine billion, fourteen million, five hundred sixty thousand, five hundred seventy-five".