980117940672 has 336 divisors, whose sum is σ = 3138280236000. Its totient is φ = 290382962688.

The previous prime is 980117940631. The next prime is 980117940673. The reversal of 980117940672 is 276049711089.

980117940672 is a `hidden beast` number, since 98 + 0 + 11 + 79 + 406 + 72 = 666.

It is a super-3 number, since 3×980117940672³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980117940673) 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, 82294654 + ... + 82306562.

It is an arithmetic number, because the mean of its divisors is an integer number (9340119750).

Almost surely, 2^980117940672 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 980117940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569140118000).

980117940672 is an abundant number, since it is smaller than the sum of its proper divisors (2158162295328).

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

980117940672 is a wasteful number, since it uses less digits than its factorization.

980117940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 980117940672 in words is "nine hundred eighty billion, one hundred seventeen million, nine hundred forty thousand, six hundred seventy-two".