84557014344 has 1024 divisors, whose sum is σ = 302579712000. Its totient is φ = 21555072000.

The previous prime is 84557014327. The next prime is 84557014351. The reversal of 84557014344 is 44341075548.

84557014344 is a `hidden beast` number, since 8 + 45 + 570 + 1 + 4 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84557014344.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1190943829 + ... + 1190943899.

It is an arithmetic number, because the mean of its divisors is an integer number (295488000).

Almost surely, 2^84557014344 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 84557014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151289856000).

84557014344 is an abundant number, since it is smaller than the sum of its proper divisors (218022697656).

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

84557014344 is a wasteful number, since it uses less digits than its factorization.

84557014344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 84557014344 in words is "eighty-four billion, five hundred fifty-seven million, fourteen thousand, three hundred forty-four".