83139323904 has 864 divisors, whose sum is σ = 308076055560. Its totient is φ = 21403533312.

The previous prime is 83139323893. The next prime is 83139323909. The reversal of 83139323904 is 40932393138.

83139323904 is a `hidden beast` number, since 8 + 313 + 9 + 323 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58200597504 + 24938726400 = 241248^2 + 157920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83139323904.

It is not an unprimeable number, because it can be changed into a prime (83139323909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 857106384 + ... + 857106480.

Almost surely, 2^83139323904 is an apocalyptic number.

83139323904 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 83139323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154038027780).

83139323904 is an abundant number, since it is smaller than the sum of its proper divisors (224936731656).

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

83139323904 is a wasteful number, since it uses less digits than its factorization.

83139323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 83139323904 in words is "eighty-three billion, one hundred thirty-nine million, three hundred twenty-three thousand, nine hundred four".