825915461832 has 48 divisors (see below), whose sum is σ = 2237263704000. Its totient is φ = 275254775136.

The previous prime is 825915461807. The next prime is 825915461857. The reversal of 825915461832 is 238164519528.

825915461832 is a `hidden beast` number, since 8 + 2 + 5 + 9 + 15 + 4 + 618 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (825915461807) and next prime (825915461857).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652332 + ... + 1441307.

It is an arithmetic number, because the mean of its divisors is an integer number (46609660500).

Almost surely, 2^825915461832 is an apocalyptic number.

It is an amenable number.

825915461832 is an abundant number, since it is smaller than the sum of its proper divisors (1411348242168).

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

825915461832 is a wasteful number, since it uses less digits than its factorization.

825915461832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099130 (or 2099123 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

It can be divided in two parts, 82591546 and 1832, that added together give a triangular number (82593378 = T₁₂₈₅₂).

The spelling of 825915461832 in words is "eight hundred twenty-five billion, nine hundred fifteen million, four hundred sixty-one thousand, eight hundred thirty-two".