981928894464 has 784 divisors, whose sum is σ = 3417442422912. Its totient is φ = 276191576064.

The previous prime is 981928894433. The next prime is 981928894481. The reversal of 981928894464 is 464498829189.

981928894464 is a `hidden beast` number, since 9 + 81 + 9 + 2 + 8 + 89 + 4 + 464 = 666.

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 = 981928894392 and 981928894401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3469713267 + ... + 3469713549.

Almost surely, 2^981928894464 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 981928894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708721211456).

981928894464 is an abundant number, since it is smaller than the sum of its proper divisors (2435513528448).

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

981928894464 is an frugal number, since it uses more digits than its factorization.

981928894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 378 counting only the distinct ones).

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

The spelling of 981928894464 in words is "nine hundred eighty-one billion, nine hundred twenty-eight million, eight hundred ninety-four thousand, four hundred sixty-four".