82344290193 has 24 divisors (see below), whose sum is σ = 129771726240. Its totient is φ = 49899058560.

The previous prime is 82344290159. The next prime is 82344290233. The reversal of 82344290193 is 39109244328.

82344290193 is a `hidden beast` number, since 8 + 2 + 34 + 429 + 0 + 193 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-82344290193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82344290143) 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, 762030 + ... + 863352.

It is an arithmetic number, because the mean of its divisors is an integer number (5407155260).

Almost surely, 2^82344290193 is an apocalyptic number.

It is an amenable number.

82344290193 is a deficient number, since it is larger than the sum of its proper divisors (47427436047).

82344290193 is a wasteful number, since it uses less digits than its factorization.

82344290193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109549 (or 109546 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 82344290193 in words is "eighty-two billion, three hundred forty-four million, two hundred ninety thousand, one hundred ninety-three".