82423369904256 has 192 divisors, whose sum is σ = 249677616988800. Its totient is φ = 26027126323200.

The previous prime is 82423369904171. The next prime is 82423369904297. The reversal of 82423369904256 is 65240996332428.

82423369904256 is a `hidden beast` number, since 8 + 2 + 4 + 233 + 69 + 90 + 4 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×82423369904256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82423369904193 and 82423369904202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495395481 + ... + 495561831.

It is an arithmetic number, because the mean of its divisors is an integer number (1300404255150).

Almost surely, 2^{82423369904256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82423369904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124838808494400).

82423369904256 is an abundant number, since it is smaller than the sum of its proper divisors (167254247084544).

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

82423369904256 is a wasteful number, since it uses less digits than its factorization.

82423369904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189027 (or 189012 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 82423369904256 in words is "eighty-two trillion, four hundred twenty-three billion, three hundred sixty-nine million, nine hundred four thousand, two hundred fifty-six".