83490136704 has 384 divisors, whose sum is σ = 275023803600. Its totient is φ = 24083693568.

The previous prime is 83490136669. The next prime is 83490136811. The reversal of 83490136704 is 40763109438.

83490136704 is a `hidden beast` number, since 83 + 490 + 13 + 6 + 70 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10784407104 + 72705729600 = 103848^2 + 269640^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 83490136704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89870512 + ... + 89871440.

Almost surely, 2^83490136704 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 83490136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137511901800).

83490136704 is an abundant number, since it is smaller than the sum of its proper divisors (191533666896).

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

83490136704 is a wasteful number, since it uses less digits than its factorization.

83490136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 83490136704 in words is "eighty-three billion, four hundred ninety million, one hundred thirty-six thousand, seven hundred four".