82376632341 has 48 divisors (see below), whose sum is σ = 127934788800. Its totient is φ = 52905944448.

The previous prime is 82376632337. The next prime is 82376632363. The reversal of 82376632341 is 14323667328.

82376632341 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 6 + 632 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 82376632341 - 2² = 82376632337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82376632381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207690 + ... + 3233268.

It is an arithmetic number, because the mean of its divisors is an integer number (2665308100).

Almost surely, 2^82376632341 is an apocalyptic number.

82376632341 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82376632341 is a deficient number, since it is larger than the sum of its proper divisors (45558156459).

82376632341 is a wasteful number, since it uses less digits than its factorization.

82376632341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26080 (or 26068 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 82376632341 in words is "eighty-two billion, three hundred seventy-six million, six hundred thirty-two thousand, three hundred forty-one".