981706117248 has 320 divisors, whose sum is σ = 2976653433600. Its totient is φ = 321113714688.

The previous prime is 981706117213. The next prime is 981706117267. The reversal of 981706117248 is 842711607189.

981706117248 is a `hidden beast` number, since 9 + 8 + 17 + 0 + 611 + 7 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 981706117194 and 981706117203.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136781436 + ... + 136788612.

It is an arithmetic number, because the mean of its divisors is an integer number (9302041980).

Almost surely, 2^981706117248 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 981706117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488326716800).

981706117248 is an abundant number, since it is smaller than the sum of its proper divisors (1994947316352).

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

981706117248 is a wasteful number, since it uses less digits than its factorization.

981706117248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 981706117248 in words is "nine hundred eighty-one billion, seven hundred six million, one hundred seventeen thousand, two hundred forty-eight".