84117000456 has 48 divisors (see below), whose sum is σ = 227850889500. Its totient is φ = 28034813952.

The previous prime is 84117000419. The next prime is 84117000463. The reversal of 84117000456 is 65400071148.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77690412900 + 6426587556 = 278730^2 + 80166^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84117000456.

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, 418620 + ... + 586068.

Almost surely, 2^84117000456 is an apocalyptic number.

It is an amenable number.

84117000456 is an abundant number, since it is smaller than the sum of its proper divisors (143733889044).

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

84117000456 is a wasteful number, since it uses less digits than its factorization.

84117000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174438 (or 174431 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 84117000456 in words is "eighty-four billion, one hundred seventeen million, four hundred fifty-six", and thus it is an aban number.