83182635396 has 315 divisors, whose sum is σ = 256972537941. Its totient is φ = 23548426272.

The previous prime is 83182635359. The next prime is 83182635439. The reversal of 83182635396 is 69353628138.

It is a happy number.

The square root of 83182635396 is 288414.

It is a perfect power (a square), and thus also a powerful number.

83182635396 is a `hidden beast` number, since 83 + 1 + 8 + 26 + 3 + 539 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57977897796 + 25204737600 = 240786^2 + 158760^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 763143390 + ... + 763143498.

Almost surely, 2^83182635396 is an apocalyptic number.

83182635396 is the 288414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83182635396

83182635396 is an abundant number, since it is smaller than the sum of its proper divisors (173789902545).

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

83182635396 is an frugal number, since it uses more digits than its factorization.

83182635396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 121 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 83182635396 in words is "eighty-three billion, one hundred eighty-two million, six hundred thirty-five thousand, three hundred ninety-six".