84494132856 has 256 divisors, whose sum is σ = 282686976000. Its totient is φ = 22843555200.

The previous prime is 84494132843. The next prime is 84494132897. The reversal of 84494132856 is 65823149448.

84494132856 is a `hidden beast` number, since 84 + 494 + 1 + 3 + 28 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 41683315 + ... + 41685341.

It is an arithmetic number, because the mean of its divisors is an integer number (1104246000).

Almost surely, 2^84494132856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84494132856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141343488000).

84494132856 is an abundant number, since it is smaller than the sum of its proper divisors (198192843144).

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

84494132856 is a wasteful number, since it uses less digits than its factorization.

84494132856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3509 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 84494132856 in words is "eighty-four billion, four hundred ninety-four million, one hundred thirty-two thousand, eight hundred fifty-six".