110160393408 has 336 divisors, whose sum is σ = 347236999200. Its totient is φ = 33183498240.

The previous prime is 110160393407. The next prime is 110160393433. The reversal of 110160393408 is 804393061011.

110160393408 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 603 + 9 + 3 + 40 + 8 = 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 (110160393407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171856768 + ... + 171857408.

It is an arithmetic number, because the mean of its divisors is an integer number (1033443450).

Almost surely, 2^110160393408 is an apocalyptic number.

110160393408 is a gapful number since it is divisible by the number (18) 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 110160393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173618499600).

110160393408 is an abundant number, since it is smaller than the sum of its proper divisors (237076605792).

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

110160393408 is a wasteful number, since it uses less digits than its factorization.

110160393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 110160393408 in words is "one hundred ten billion, one hundred sixty million, three hundred ninety-three thousand, four hundred eight".