42846827188464 has 120 divisors (see below), whose sum is σ = 129144936538800. Its totient is φ = 13182683544576.

The previous prime is 42846827188393. The next prime is 42846827188511. The reversal of 42846827188464 is 46488172864824.

42846827188464 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 6 + 82 + 7 + 1 + 88 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42846827188392 and 42846827188401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25222587 + ... + 26867685.

It is an arithmetic number, because the mean of its divisors is an integer number (1076207804490).

Almost surely, 2^{42846827188464} is an apocalyptic number.

It is an amenable number.

42846827188464 is an abundant number, since it is smaller than the sum of its proper divisors (86298109350336).

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

42846827188464 is a wasteful number, since it uses less digits than its factorization.

42846827188464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659039 (or 1659030 counting only the distinct ones).

The product of its digits is 1056964608, while the sum is 72.

The spelling of 42846827188464 in words is "forty-two trillion, eight hundred forty-six billion, eight hundred twenty-seven million, one hundred eighty-eight thousand, four hundred sixty-four".