84845836018944 has 6048 divisors, whose sum is σ = 376785871257600. Its totient is φ = 18830510899200.

The previous prime is 84845836018849. The next prime is 84845836018961. The reversal of 84845836018944 is 44981063854848.

84845836018944 is a `hidden beast` number, since 8 + 4 + 8 + 4 + 5 + 8 + 3 + 601 + 8 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2736962452209 + ... + 2736962452239.

It is an arithmetic number, because the mean of its divisors is an integer number (62299251200).

Almost surely, 2^{84845836018944} is an apocalyptic number.

84845836018944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84845836018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188392935628800).

84845836018944 is an abundant number, since it is smaller than the sum of its proper divisors (291940035238656).

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

84845836018944 is a wasteful number, since it uses less digits than its factorization.

84845836018944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 84845836018944 in words is "eighty-four trillion, eight hundred forty-five billion, eight hundred thirty-six million, eighteen thousand, nine hundred forty-four".