82446079392 has 480 divisors, whose sum is σ = 268319232720. Its totient is φ = 24723947520.

The previous prime is 82446079379. The next prime is 82446079393. The reversal of 82446079392 is 29397064428.

82446079392 is a `hidden beast` number, since 8 + 2 + 4 + 460 + 7 + 93 + 92 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50317667856 + 32128411536 = 224316^2 + 179244^2 .

It is a super-2 number, since 2×82446079392² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82446079393) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99452034 + ... + 99452862.

Almost surely, 2^82446079392 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 82446079392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134159616360).

82446079392 is an abundant number, since it is smaller than the sum of its proper divisors (185873153328).

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

82446079392 is a wasteful number, since it uses less digits than its factorization.

82446079392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 82446079392 in words is "eighty-two billion, four hundred forty-six million, seventy-nine thousand, three hundred ninety-two".