981062081664 has 384 divisors, whose sum is σ = 3168025344000. Its totient is φ = 267949172736.

The previous prime is 981062081569. The next prime is 981062081669. The reversal of 981062081664 is 466180260189.

981062081664 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 (384).

It is not an unprimeable number, because it can be changed into a prime (981062081669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38014237 + ... + 38040035.

It is an arithmetic number, because the mean of its divisors is an integer number (8250066000).

Almost surely, 2^981062081664 is an apocalyptic number.

981062081664 is a gapful number since it is divisible by the number (94) 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 981062081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584012672000).

981062081664 is an abundant number, since it is smaller than the sum of its proper divisors (2186963262336).

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

981062081664 is a wasteful number, since it uses less digits than its factorization.

981062081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25920 (or 25901 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 981062081664 in words is "nine hundred eighty-one billion, sixty-two million, eighty-one thousand, six hundred sixty-four".