91949258079 has 96 divisors (see below), whose sum is σ = 168391224000. Its totient is φ = 49272330240.

The previous prime is 91949258047. The next prime is 91949258111. The reversal of 91949258079 is 97085294919.

91949258079 is a `hidden beast` number, since 9 + 1 + 9 + 49 + 2 + 580 + 7 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (91949258047) and next prime (91949258111).

It is not a de Polignac number, because 91949258079 - 2⁵ = 91949258047 is a prime.

It is a super-2 number, since 2×91949258079² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91949258579) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6312697 + ... + 6327245.

It is an arithmetic number, because the mean of its divisors is an integer number (1754075250).

Almost surely, 2^91949258079 is an apocalyptic number.

91949258079 is a deficient number, since it is larger than the sum of its proper divisors (76441965921).

91949258079 is a wasteful number, since it uses less digits than its factorization.

91949258079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14870 (or 14857 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 91949258079 in words is "ninety-one billion, nine hundred forty-nine million, two hundred fifty-eight thousand, seventy-nine".