1114110391680 has 1280 divisors, whose sum is σ = 4712675204160. Its totient is φ = 247266017280.

The previous prime is 1114110391673. The next prime is 1114110391687. The reversal of 1114110391680 is 861930114111.

It is an interprime number because it is at equal distance from previous prime (1114110391673) and next prime (1114110391687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114110391687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1015596892 + ... + 1015597988.

Almost surely, 2^{1114110391680} is an apocalyptic number.

1114110391680 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 1114110391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356337602080).

1114110391680 is an abundant number, since it is smaller than the sum of its proper divisors (3598564812480).

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

1114110391680 is a wasteful number, since it uses less digits than its factorization.

1114110391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 1114110391680 in words is "one trillion, one hundred fourteen billion, one hundred ten million, three hundred ninety-one thousand, six hundred eighty".