82377346565504 has 32 divisors (see below), whose sum is σ = 166422544356240. Its totient is φ = 40608551119360.

The previous prime is 82377346565429. The next prime is 82377346565509. The reversal of 82377346565504 is 40556564377328.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82377346565509) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4532195279 + ... + 4532213454.

Almost surely, 2^{82377346565504} is an apocalyptic number.

It is an amenable number.

82377346565504 is an abundant number, since it is smaller than the sum of its proper divisors (84045197790736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82377346565504 is an equidigital number, since it uses as much as digits as its factorization.

82377346565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064408818 (or 9064408806 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 65.

The spelling of 82377346565504 in words is "eighty-two trillion, three hundred seventy-seven billion, three hundred forty-six million, five hundred sixty-five thousand, five hundred four".