110849163264 has 264 divisors, whose sum is σ = 366414310080. Its totient is φ = 31633440768.

The previous prime is 110849163203. The next prime is 110849163319. The reversal of 110849163264 is 462361948011.

110849163264 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 4 + 9 + 1 + 632 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132120157 + ... + 132120995.

Almost surely, 2^110849163264 is an apocalyptic number.

110849163264 is a gapful number since it is divisible by the number (14) 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 110849163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183207155040).

110849163264 is an abundant number, since it is smaller than the sum of its proper divisors (255565146816).

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

110849163264 is an frugal number, since it uses more digits than its factorization.

110849163264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 110849163264 in words is "one hundred ten billion, eight hundred forty-nine million, one hundred sixty-three thousand, two hundred sixty-four".