91186851168 has 384 divisors, whose sum is σ = 316108800000. Its totient is φ = 25024412160.

The previous prime is 91186851121. The next prime is 91186851229. The reversal of 91186851168 is 86115868119.

91186851168 is a `hidden beast` number, since 9 + 1 + 1 + 8 + 68 + 511 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26059083 + ... + 26062581.

It is an arithmetic number, because the mean of its divisors is an integer number (823200000).

Almost surely, 2^91186851168 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 91186851168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400000).

91186851168 is an abundant number, since it is smaller than the sum of its proper divisors (224921948832).

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

91186851168 is a wasteful number, since it uses less digits than its factorization.

91186851168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3681 counting only the distinct ones).

The product of its digits is 829440, while the sum is 54.

The spelling of 91186851168 in words is "ninety-one billion, one hundred eighty-six million, eight hundred fifty-one thousand, one hundred sixty-eight".