983636432068608 has 280 divisors, whose sum is σ = 3001109475779712. Its totient is φ = 320902655606784.

The previous prime is 983636432068559. The next prime is 983636432068657. The reversal of 983636432068608 is 806860234636389.

It is a happy number.

983636432068608 is a `hidden beast` number, since 9 + 8 + 3 + 6 + 3 + 6 + 4 + 3 + 2 + 0 + 6 + 8 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (983636432068559) and next prime (983636432068657).

It is a super-2 number, since 2×983636432068608² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15416941 + ... + 46956947.

Almost surely, 2^{983636432068608} 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 983636432068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500554737889856).

983636432068608 is an abundant number, since it is smaller than the sum of its proper divisors (2017473043711104).

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

983636432068608 is an equidigital number, since it uses as much as digits as its factorization.

983636432068608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31540092 (or 31540059 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 983636432068608 in words is "nine hundred eighty-three trillion, six hundred thirty-six billion, four hundred thirty-two million, sixty-eight thousand, six hundred eight".