981659977056 has 288 divisors, whose sum is σ = 3231626606208. Its totient is φ = 290553661440.

The previous prime is 981659977043. The next prime is 981659977127. The reversal of 981659977056 is 650779956189.

981659977056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3544600 + ... + 3811496.

It is an arithmetic number, because the mean of its divisors is an integer number (11220925716).

Almost surely, 2^981659977056 is an apocalyptic number.

981659977056 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 981659977056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615813303104).

981659977056 is an abundant number, since it is smaller than the sum of its proper divisors (2249966629152).

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

981659977056 is a wasteful number, since it uses less digits than its factorization.

981659977056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266976 (or 266956 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 72.

The spelling of 981659977056 in words is "nine hundred eighty-one billion, six hundred fifty-nine million, nine hundred seventy-seven thousand, fifty-six".