981289846368 has 384 divisors, whose sum is σ = 3109657098240. Its totient is φ = 299262781440.

The previous prime is 981289846309. The next prime is 981289846387. The reversal of 981289846368 is 863648982189.

981289846368 is a `hidden beast` number, since 9 + 8 + 12 + 8 + 98 + 463 + 68 = 666.

981289846368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 981289846296 and 981289846305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1014777021 + ... + 1014777987.

It is an arithmetic number, because the mean of its divisors is an integer number (8098065360).

Almost surely, 2^981289846368 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 981289846368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554828549120).

981289846368 is an abundant number, since it is smaller than the sum of its proper divisors (2128367251872).

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

981289846368 is a wasteful number, since it uses less digits than its factorization.

981289846368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1693 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 981289846368 in words is "nine hundred eighty-one billion, two hundred eighty-nine million, eight hundred forty-six thousand, three hundred sixty-eight".