112982718818880 has 1344 divisors, whose sum is σ = 424945793825280. Its totient is φ = 28517532696576.

The previous prime is 112982718818759. The next prime is 112982718818887. The reversal of 112982718818880 is 88818817289211.

112982718818880 is a `hidden beast` number, since 1 + 1 + 29 + 8 + 271 + 88 + 188 + 80 = 666.

It is a super-3 number, since 3×112982718818880³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 112982718818799 and 112982718818808.

It is not an unprimeable number, because it can be changed into a prime (112982718818887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111974943816 + ... + 111974944824.

It is an arithmetic number, because the mean of its divisors is an integer number (316179906120).

Almost surely, 2^{112982718818880} is an apocalyptic number.

112982718818880 is a gapful number since it is divisible by the number (10) 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 112982718818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212472896912640).

112982718818880 is an abundant number, since it is smaller than the sum of its proper divisors (311963075006400).

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

112982718818880 is a wasteful number, since it uses less digits than its factorization.

112982718818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 72.

The spelling of 112982718818880 in words is "one hundred twelve trillion, nine hundred eighty-two billion, seven hundred eighteen million, eight hundred eighteen thousand, eight hundred eighty".