463128991875 has 480 divisors, whose sum is σ = 1046347061760. Its totient is φ = 201864960000.

The previous prime is 463128991867. The next prime is 463128991883. The reversal of 463128991875 is 578199821364.

463128991875 is a `hidden beast` number, since 463 + 1 + 2 + 8 + 9 + 91 + 87 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (463128991867) and next prime (463128991883).

It is not a de Polignac number, because 463128991875 - 2³ = 463128991867 is a prime.

Its product of digits (26127360) is a multiple of the sum of its prime divisors (768).

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 479 ways as a sum of consecutive naturals, for example, 653214021 + ... + 653214729.

It is an arithmetic number, because the mean of its divisors is an integer number (2179889712).

Almost surely, 2^463128991875 is an apocalyptic number.

463128991875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

463128991875 is an abundant number, since it is smaller than the sum of its proper divisors (583218069885).

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

463128991875 is a wasteful number, since it uses less digits than its factorization.

463128991875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 768 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 463128991875 in words is "four hundred sixty-three billion, one hundred twenty-eight million, nine hundred ninety-one thousand, eight hundred seventy-five".