86930434031616 has 1824 divisors, whose sum is σ = 321528020486400. Its totient is φ = 22069421015040.

The previous prime is 86930434031557. The next prime is 86930434031627. The reversal of 86930434031616 is 61613043403968.

86930434031616 is a `hidden beast` number, since 8 + 6 + 9 + 30 + 43 + 403 + 161 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1824).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373091991436 + ... + 373091991668.

Almost surely, 2^{86930434031616} 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 86930434031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160764010243200).

86930434031616 is an abundant number, since it is smaller than the sum of its proper divisors (234597586454784).

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

86930434031616 is a wasteful number, since it uses less digits than its factorization.

86930434031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 86930434031616 in words is "eighty-six trillion, nine hundred thirty billion, four hundred thirty-four million, thirty-one thousand, six hundred sixteen".