110114916480 has 768 divisors, whose sum is σ = 425401200000. Its totient is φ = 26843996160.

The previous prime is 110114916479. The next prime is 110114916487. The reversal of 110114916480 is 84619411011.

110114916480 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 4 + 9 + 1 + 648 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (110114916487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315515346 + ... + 315515694.

Almost surely, 2^110114916480 is an apocalyptic number.

110114916480 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 110114916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212700600000).

110114916480 is an abundant number, since it is smaller than the sum of its proper divisors (315286283520).

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

110114916480 is a wasteful number, since it uses less digits than its factorization.

110114916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 110114916480 in words is "one hundred ten billion, one hundred fourteen million, nine hundred sixteen thousand, four hundred eighty".