86501941612164 has 729 divisors, whose sum is σ = 251942005360773. Its totient is φ = 25012625758848.

The previous prime is 86501941612153. The next prime is 86501941612181. The reversal of 86501941612164 is 46121614910568.

The square root of 86501941612164 is 9300642.

It is a perfect power (a square), and thus also a powerful number.

86501941612164 is a `hidden beast` number, since 8 + 6 + 5 + 0 + 1 + 9 + 4 + 1 + 612 + 16 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12796145208900 + 73705796403264 = 3577170^2 + 8585208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86501941612164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1466134603567 + ... + 1466134603625.

Almost surely, 2^{86501941612164} is an apocalyptic number.

86501941612164 is the 9300642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86501941612164

86501941612164 is an abundant number, since it is smaller than the sum of its proper divisors (165440063748609).

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

86501941612164 is a wasteful number, since it uses less digits than its factorization.

86501941612164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 86501941612164 in words is "eighty-six trillion, five hundred one billion, nine hundred forty-one million, six hundred twelve thousand, one hundred sixty-four".