110916552096 has 384 divisors, whose sum is σ = 379076544000. Its totient is φ = 31538626560.

The previous prime is 110916552029. The next prime is 110916552121. The reversal of 110916552096 is 690255619011.

It is a happy number.

110916552096 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 1 + 6 + 552 + 0 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71420056 + ... + 71421608.

It is an arithmetic number, because the mean of its divisors is an integer number (987178500).

Almost surely, 2^110916552096 is an apocalyptic number.

110916552096 is a gapful number since it is divisible by the number (16) 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 110916552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189538272000).

110916552096 is an abundant number, since it is smaller than the sum of its proper divisors (268159991904).

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

110916552096 is a wasteful number, since it uses less digits than its factorization.

110916552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 110916552096 in words is "one hundred ten billion, nine hundred sixteen million, five hundred fifty-two thousand, ninety-six".