91967862405 has 32 divisors (see below), whose sum is σ = 149154356736. Its totient is φ = 48382784064.

The previous prime is 91967862383. The next prime is 91967862443. The reversal of 91967862405 is 50426876919.

It is not a de Polignac number, because 91967862405 - 2¹⁴ = 91967846021 is a prime.

It is a super-3 number, since 3×91967862405³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 743094 + ... + 857976.

It is an arithmetic number, because the mean of its divisors is an integer number (4661073648).

Almost surely, 2^91967862405 is an apocalyptic number.

It is an amenable number.

91967862405 is a deficient number, since it is larger than the sum of its proper divisors (57186494331).

91967862405 is a wasteful number, since it uses less digits than its factorization.

91967862405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115617.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 91967862405 in words is "ninety-one billion, nine hundred sixty-seven million, eight hundred sixty-two thousand, four hundred five".