83136354521688 has 256 divisors, whose sum is σ = 255965531673600. Its totient is φ = 24843705384960.

The previous prime is 83136354521683. The next prime is 83136354521761. The reversal of 83136354521688 is 88612545363138.

83136354521688 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 6 + 3 + 545 + 2 + 1 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83136354521683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10245720 + ... + 16469592.

It is an arithmetic number, because the mean of its divisors is an integer number (999865358100).

Almost surely, 2^{83136354521688} 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 83136354521688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127982765836800).

83136354521688 is an abundant number, since it is smaller than the sum of its proper divisors (172829177151912).

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

83136354521688 is a wasteful number, since it uses less digits than its factorization.

83136354521688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224039 (or 6224029 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 83136354521688 in words is "eighty-three trillion, one hundred thirty-six billion, three hundred fifty-four million, five hundred twenty-one thousand, six hundred eighty-eight".