91854940968 has 144 divisors (see below), whose sum is σ = 291064636980. Its totient is φ = 26092394496.

The previous prime is 91854940967. The next prime is 91854940993. The reversal of 91854940968 is 86904945819.

91854940968 is a `hidden beast` number, since 9 + 1 + 85 + 494 + 0 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91725391044 + 129549924 = 302862^2 + 11382^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (91854940967) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 535096 + ... + 685592.

Almost surely, 2^91854940968 is an apocalyptic number.

91854940968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91854940968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145532318490).

91854940968 is an abundant number, since it is smaller than the sum of its proper divisors (199209696012).

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

91854940968 is a wasteful number, since it uses less digits than its factorization.

91854940968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150696 (or 150682 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 91854940968 in words is "ninety-one billion, eight hundred fifty-four million, nine hundred forty thousand, nine hundred sixty-eight".