110674099663680 has 896 divisors, whose sum is σ = 413829478379520. Its totient is φ = 24533572976640.

The previous prime is 110674099663661. The next prime is 110674099663691. The reversal of 110674099663680 is 86366990476011.

It is a happy number.

It is a super-2 number, since 2×110674099663680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68359541911 + ... + 68359543529.

It is an arithmetic number, because the mean of its divisors is an integer number (461863257120).

Almost surely, 2^{110674099663680} is an apocalyptic number.

110674099663680 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 110674099663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206914739189760).

110674099663680 is an abundant number, since it is smaller than the sum of its proper divisors (303155378715840).

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

110674099663680 is a wasteful number, since it uses less digits than its factorization.

110674099663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 110674099663680 in words is "one hundred ten trillion, six hundred seventy-four billion, ninety-nine million, six hundred sixty-three thousand, six hundred eighty".