84458933760 has 160 divisors (see below), whose sum is σ = 284215916160. Its totient is φ = 21336956928.

The previous prime is 84458933759. The next prime is 84458933771. The reversal of 84458933760 is 6733985448.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×84458933760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 84458933760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143482 + ... + 435321.

It is an arithmetic number, because the mean of its divisors is an integer number (1776349476).

Almost surely, 2^84458933760 is an apocalyptic number.

84458933760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84458933760 is an abundant number, since it is smaller than the sum of its proper divisors (199756982400).

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

84458933760 is a wasteful number, since it uses less digits than its factorization.

84458933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578848 (or 578832 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 84458933760 in words is "eighty-four billion, four hundred fifty-eight million, nine hundred thirty-three thousand, seven hundred sixty".