84845842956 has 192 divisors, whose sum is σ = 259782082560. Its totient is φ = 23434608960.

The previous prime is 84845842919. The next prime is 84845842969. The reversal of 84845842956 is 65924854848.

84845842956 is a `hidden beast` number, since 8 + 48 + 4 + 584 + 2 + 9 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 84845842893 and 84845842902.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37098045 + ... + 37100331.

It is an arithmetic number, because the mean of its divisors is an integer number (1353031680).

Almost surely, 2^84845842956 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 84845842956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129891041280).

84845842956 is an abundant number, since it is smaller than the sum of its proper divisors (174936239604).

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

84845842956 is a wasteful number, since it uses less digits than its factorization.

84845842956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3913 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 84845842956 in words is "eighty-four billion, eight hundred forty-five million, eight hundred forty-two thousand, nine hundred fifty-six".