110464714080 has 1152 divisors, whose sum is σ = 471744000000. Its totient is φ = 23458885632.

The previous prime is 110464714057. The next prime is 110464714097. The reversal of 110464714080 is 80417464011.

110464714080 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 647 + 1 + 4 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 741373846 + ... + 741373994.

It is an arithmetic number, because the mean of its divisors is an integer number (409500000).

Almost surely, 2^110464714080 is an apocalyptic number.

110464714080 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 110464714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000000).

110464714080 is an abundant number, since it is smaller than the sum of its proper divisors (361279285920).

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

110464714080 is a wasteful number, since it uses less digits than its factorization.

110464714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 110464714080 in words is "one hundred ten billion, four hundred sixty-four million, seven hundred fourteen thousand, eighty".