84856146272 has 192 divisors, whose sum is σ = 187787787264. Its totient is φ = 37538856960.

The previous prime is 84856146233. The next prime is 84856146301. The reversal of 84856146272 is 27264165848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322646813 + ... + 322647075.

It is an arithmetic number, because the mean of its divisors is an integer number (978061392).

Almost surely, 2^84856146272 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 84856146272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93893893632).

84856146272 is an abundant number, since it is smaller than the sum of its proper divisors (102931640992).

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

84856146272 is a wasteful number, since it uses less digits than its factorization.

84856146272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 53.

The spelling of 84856146272 in words is "eighty-four billion, eight hundred fifty-six million, one hundred forty-six thousand, two hundred seventy-two".