83993335104 has 224 divisors, whose sum is σ = 261563104000. Its totient is φ = 23775897600.

The previous prime is 83993335103. The next prime is 83993335117. The reversal of 83993335104 is 40153339938.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83993335103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7172454 + ... + 7184154.

Almost surely, 2^83993335104 is an apocalyptic number.

83993335104 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 83993335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130781552000).

83993335104 is an abundant number, since it is smaller than the sum of its proper divisors (177569768896).

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

83993335104 is a wasteful number, since it uses less digits than its factorization.

83993335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 83993335104 in words is "eighty-three billion, nine hundred ninety-three million, three hundred thirty-five thousand, one hundred four".