84488880884032 has 224 divisors, whose sum is σ = 177005864407680. Its totient is φ = 39969426309120.

The previous prime is 84488880884017. The next prime is 84488880884041. The reversal of 84488880884032 is 23048808888448.

It is a super-2 number, since 2×84488880884032² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28457014644 + ... + 28457017612.

It is an arithmetic number, because the mean of its divisors is an integer number (790204751820).

Almost surely, 2^{84488880884032} 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 84488880884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88502932203840).

84488880884032 is an abundant number, since it is smaller than the sum of its proper divisors (92516983523648).

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

84488880884032 is a wasteful number, since it uses less digits than its factorization.

84488880884032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 805306368, while the sum is 73.

The spelling of 84488880884032 in words is "eighty-four trillion, four hundred eighty-eight billion, eight hundred eighty million, eight hundred eighty-four thousand, thirty-two".