991345496193 has 128 divisors (see below), whose sum is σ = 1698206720000. Its totient is φ = 566487447552.

The previous prime is 991345496161. The next prime is 991345496213. The reversal of 991345496193 is 391694543199.

991345496193 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 4 + 5 + 4 + 9 + 619 + 3 = 666.

It is not a de Polignac number, because 991345496193 - 2⁵ = 991345496161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 991345496193.

It is not an unprimeable number, because it can be changed into a prime (991345496123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73225521 + ... + 73239057.

It is an arithmetic number, because the mean of its divisors is an integer number (13267240000).

Almost surely, 2^991345496193 is an apocalyptic number.

It is an amenable number.

991345496193 is a deficient number, since it is larger than the sum of its proper divisors (706861223807).

991345496193 is a wasteful number, since it uses less digits than its factorization.

991345496193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13796 (or 13790 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 991345496193 in words is "nine hundred ninety-one billion, three hundred forty-five million, four hundred ninety-six thousand, one hundred ninety-three".