86261594194944 has 1485 divisors, whose sum is σ = 319492399290669. Its totient is φ = 23110799523840.

The previous prime is 86261594194901. The next prime is 86261594195047. The reversal of 86261594194944 is 44949149516268.

The square root of 86261594194944 is 9287712.

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

86261594194944 is a `hidden beast` number, since 8 + 6 + 26 + 1 + 594 + 1 + 9 + 4 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67158680601600 + 19102913593344 = 8195040^2 + 4370688^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 134 ways as a sum of consecutive naturals, for example, 318308465529 + ... + 318308465799.

Almost surely, 2^{86261594194944} is an apocalyptic number.

86261594194944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

86261594194944 is the 9287712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86261594194944

86261594194944 is an abundant number, since it is smaller than the sum of its proper divisors (233230805095725).

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

86261594194944 is an equidigital number, since it uses as much as digits as its factorization.

86261594194944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 300 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 86261594194944 in words is "eighty-six trillion, two hundred sixty-one billion, five hundred ninety-four million, one hundred ninety-four thousand, nine hundred forty-four".