110913216960 has 1344 divisors, whose sum is σ = 479144429568. Its totient is φ = 21461336064.

The previous prime is 110913216929. The next prime is 110913216989. The reversal of 110913216960 is 69612319011.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 488604367 + ... + 488604593.

It is an arithmetic number, because the mean of its divisors is an integer number (356506272).

Almost surely, 2^110913216960 is an apocalyptic number.

110913216960 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 110913216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239572214784).

110913216960 is an abundant number, since it is smaller than the sum of its proper divisors (368231212608).

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

110913216960 is a wasteful number, since it uses less digits than its factorization.

110913216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 110913216960 in words is "one hundred ten billion, nine hundred thirteen million, two hundred sixteen thousand, nine hundred sixty".