83749100391 has 160 divisors (see below), whose sum is σ = 149004472320. Its totient is φ = 46330574400.

The previous prime is 83749100341. The next prime is 83749100417. The reversal of 83749100391 is 19300194738.

It is not a de Polignac number, because 83749100391 - 2¹⁰ = 83749099367 is a prime.

It is a super-3 number, since 3×83749100391³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83749100321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53308636 + ... + 53310206.

It is an arithmetic number, because the mean of its divisors is an integer number (931277952).

Almost surely, 2^83749100391 is an apocalyptic number.

83749100391 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

83749100391 is a deficient number, since it is larger than the sum of its proper divisors (65255371929).

83749100391 is a wasteful number, since it uses less digits than its factorization.

83749100391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 83749100391 in words is "eighty-three billion, seven hundred forty-nine million, one hundred thousand, three hundred ninety-one".