82393362324 has 480 divisors, whose sum is σ = 284000048640. Its totient is φ = 20211130368.

The previous prime is 82393362319. The next prime is 82393362329. The reversal of 82393362324 is 42326339328.

82393362324 is a `hidden beast` number, since 8 + 239 + 33 + 62 + 324 = 666.

It is an interprime number because it is at equal distance from previous prime (82393362319) and next prime (82393362329).

It is a self number, because there is not a number n which added to its sum of digits gives 82393362324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82393362329) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44608369 + ... + 44610215.

It is an arithmetic number, because the mean of its divisors is an integer number (591666768).

Almost surely, 2^82393362324 is an apocalyptic number.

82393362324 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 82393362324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142000024320).

82393362324 is an abundant number, since it is smaller than the sum of its proper divisors (201606686316).

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

82393362324 is a wasteful number, since it uses less digits than its factorization.

82393362324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1978 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 82393362324 in words is "eighty-two billion, three hundred ninety-three million, three hundred sixty-two thousand, three hundred twenty-four".