82293409408 has 64 divisors (see below), whose sum is σ = 189296251200. Its totient is φ = 34904973312.

The previous prime is 82293409399. The next prime is 82293409421. The reversal of 82293409408 is 80490439228.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386518 + ... + 560341.

It is an arithmetic number, because the mean of its divisors is an integer number (2957753925).

Almost surely, 2^82293409408 is an apocalyptic number.

It is an amenable number.

82293409408 is an abundant number, since it is smaller than the sum of its proper divisors (107002841792).

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

82293409408 is an equidigital number, since it uses as much as digits as its factorization.

82293409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946977 (or 946965 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 82293409408 in words is "eighty-two billion, two hundred ninety-three million, four hundred nine thousand, four hundred eight".