86956849662291 has 48 divisors (see below), whose sum is σ = 149823490864320. Its totient is φ = 47563012823040.

The previous prime is 86956849662283. The next prime is 86956849662301. The reversal of 86956849662291 is 19226694865968.

It is a happy number.

86956849662291 is a `hidden beast` number, since 8 + 6 + 9 + 5 + 68 + 496 + 62 + 2 + 9 + 1 = 666.

It is not a de Polignac number, because 86956849662291 - 2³ = 86956849662283 is a prime.

It is a super-2 number, since 2×86956849662291² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86956849662291.

It is not an unprimeable number, because it can be changed into a prime (86956849662191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317458006 + ... + 317731803.

It is an arithmetic number, because the mean of its divisors is an integer number (3121322726340).

Almost surely, 2^{86956849662291} is an apocalyptic number.

86956849662291 is a deficient number, since it is larger than the sum of its proper divisors (62866641202029).

86956849662291 is a wasteful number, since it uses less digits than its factorization.

86956849662291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635189916 (or 635189913 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 81.

The spelling of 86956849662291 in words is "eighty-six trillion, nine hundred fifty-six billion, eight hundred forty-nine million, six hundred sixty-two thousand, two hundred ninety-one".