83338523136 has 800 divisors, whose sum is σ = 287477600256. Its totient is φ = 23804928000.

The previous prime is 83338523123. The next prime is 83338523137. The reversal of 83338523136 is 63132583338.

It is a happy number.

83338523136 is a `hidden beast` number, since 8 + 3 + 3 + 385 + 231 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83338523091 and 83338523100.

It is not an unprimeable number, because it can be changed into a prime (83338523137) 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 79 ways as a sum of consecutive naturals, for example, 1004078551 + ... + 1004078633.

Almost surely, 2^83338523136 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 83338523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143738800128).

83338523136 is an abundant number, since it is smaller than the sum of its proper divisors (204139077120).

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

83338523136 is a wasteful number, since it uses less digits than its factorization.

83338523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 83338523136 in words is "eighty-three billion, three hundred thirty-eight million, five hundred twenty-three thousand, one hundred thirty-six".