83338910512 has 480 divisors, whose sum is σ = 213312061440. Its totient is φ = 31135104000.

The previous prime is 83338910509. The next prime is 83338910527. The reversal of 83338910512 is 21501983338.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1173787437 + ... + 1173787507.

It is an arithmetic number, because the mean of its divisors is an integer number (444400128).

Almost surely, 2^83338910512 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 83338910512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106656030720).

83338910512 is an abundant number, since it is smaller than the sum of its proper divisors (129973150928).

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

83338910512 is a wasteful number, since it uses less digits than its factorization.

83338910512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 83338910512 in words is "eighty-three billion, three hundred thirty-eight million, nine hundred ten thousand, five hundred twelve".