983029747968 has 360 divisors, whose sum is σ = 3023150074560. Its totient is φ = 317557739520.

The previous prime is 983029747943. The next prime is 983029748009. The reversal of 983029747968 is 869747920389.

983029747968 is a `hidden beast` number, since 9 + 8 + 3 + 0 + 2 + 97 + 479 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 983029747896 and 983029747905.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86857446 + ... + 86868762.

It is an arithmetic number, because the mean of its divisors is an integer number (8397639096).

Almost surely, 2^983029747968 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 983029747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511575037280).

983029747968 is an abundant number, since it is smaller than the sum of its proper divisors (2040120326592).

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

983029747968 is a wasteful number, since it uses less digits than its factorization.

983029747968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 983029747968 in words is "nine hundred eighty-three billion, twenty-nine million, seven hundred forty-seven thousand, nine hundred sixty-eight".