981150668928 has 256 divisors, whose sum is σ = 3023420025600. Its totient is φ = 312648450048.

The previous prime is 981150668881. The next prime is 981150668933. The reversal of 981150668928 is 829866051189.

981150668928 is a `hidden beast` number, since 98 + 11 + 506 + 6 + 8 + 9 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225187326 + ... + 225191682.

It is an arithmetic number, because the mean of its divisors is an integer number (11810234475).

Almost surely, 2^981150668928 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 981150668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511710012800).

981150668928 is an abundant number, since it is smaller than the sum of its proper divisors (2042269356672).

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

981150668928 is a wasteful number, since it uses less digits than its factorization.

981150668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 981150668928 in words is "nine hundred eighty-one billion, one hundred fifty million, six hundred sixty-eight thousand, nine hundred twenty-eight".