76349857813191 has 24 divisors (see below), whose sum is σ = 112203477220224. Its totient is φ = 50015264045760.

The previous prime is 76349857813087. The next prime is 76349857813193. The reversal of 76349857813191 is 19131875894367.

76349857813191 is a `hidden beast` number, since 7 + 6 + 3 + 49 + 8 + 578 + 1 + 3 + 1 + 9 + 1 = 666.

It is not a de Polignac number, because 76349857813191 - 2¹⁸ = 76349857551047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76349857813193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69197271 + ... + 70291976.

It is an arithmetic number, because the mean of its divisors is an integer number (4675144884176).

Almost surely, 2^{76349857813191} is an apocalyptic number.

76349857813191 is a deficient number, since it is larger than the sum of its proper divisors (35853619407033).

76349857813191 is a wasteful number, since it uses less digits than its factorization.

76349857813191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139490311 (or 139490308 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 76349857813191 in words is "seventy-six trillion, three hundred forty-nine billion, eight hundred fifty-seven million, eight hundred thirteen thousand, one hundred ninety-one".