981079456896 has 1152 divisors, whose sum is σ = 3856614353280. Its totient is φ = 231756595200.

The previous prime is 981079456843. The next prime is 981079456919. The reversal of 981079456896 is 698654970189.

981079456896 is a `hidden beast` number, since 9 + 8 + 10 + 79 + 456 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1449156910 + ... + 1449157586.

It is an arithmetic number, because the mean of its divisors is an integer number (3347755515).

Almost surely, 2^981079456896 is an apocalyptic number.

981079456896 is a gapful number since it is divisible by the number (96) 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 981079456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928307176640).

981079456896 is an abundant number, since it is smaller than the sum of its proper divisors (2875534896384).

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

981079456896 is a wasteful number, since it uses less digits than its factorization.

981079456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 981079456896 in words is "nine hundred eighty-one billion, seventy-nine million, four hundred fifty-six thousand, eight hundred ninety-six".