981465864480 has 288 divisors, whose sum is σ = 3414091524480. Its totient is φ = 256695828480.

The previous prime is 981465864479. The next prime is 981465864541. The reversal of 981465864480 is 84468564189.

981465864480 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 6 + 586 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19707451 + ... + 19757189.

It is an arithmetic number, because the mean of its divisors is an integer number (11854484460).

Almost surely, 2^981465864480 is an apocalyptic number.

981465864480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981465864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707045762240).

981465864480 is an abundant number, since it is smaller than the sum of its proper divisors (2432625660000).

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

981465864480 is a wasteful number, since it uses less digits than its factorization.

981465864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50024 (or 50013 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 981465864480 in words is "nine hundred eighty-one billion, four hundred sixty-five million, eight hundred sixty-four thousand, four hundred eighty".