468291250575 has 144 divisors (see below), whose sum is σ = 890605497600. Its totient is φ = 234555609600.

The previous prime is 468291250517. The next prime is 468291250589. The reversal of 468291250575 is 575052192864.

468291250575 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 9 + 12 + 50 + 575 = 666.

It is not a de Polignac number, because 468291250575 - 2⁸ = 468291250319 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 371954296 + ... + 371955554.

It is an arithmetic number, because the mean of its divisors is an integer number (6184760400).

Almost surely, 2^468291250575 is an apocalyptic number.

468291250575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468291250575 is a deficient number, since it is larger than the sum of its proper divisors (422314247025).

468291250575 is a wasteful number, since it uses less digits than its factorization.

468291250575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 468291250575 in words is "four hundred sixty-eight billion, two hundred ninety-one million, two hundred fifty thousand, five hundred seventy-five".