82394254404 has 288 divisors, whose sum is σ = 271640476800. Its totient is φ = 21356939520.

The previous prime is 82394254387. The next prime is 82394254517. The reversal of 82394254404 is 40445249328.

82394254404 is a `hidden beast` number, since 8 + 2 + 394 + 254 + 4 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82394254404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35682802 + ... + 35685110.

It is an arithmetic number, because the mean of its divisors is an integer number (943196100).

Almost surely, 2^82394254404 is an apocalyptic number.

82394254404 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82394254404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135820238400).

82394254404 is an abundant number, since it is smaller than the sum of its proper divisors (189246222396).

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

82394254404 is a wasteful number, since it uses less digits than its factorization.

82394254404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 82394254404 in words is "eighty-two billion, three hundred ninety-four million, two hundred fifty-four thousand, four hundred four".