110413919385 has 192 divisors, whose sum is σ = 259274096640. Its totient is φ = 42068160000.

The previous prime is 110413919383. The next prime is 110413919389. The reversal of 110413919385 is 583919314011.

110413919385 is a `hidden beast` number, since 110 + 413 + 91 + 9 + 38 + 5 = 666.

It is not a de Polignac number, because 110413919385 - 2¹ = 110413919383 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 110413919385.

It is not an unprimeable number, because it can be changed into a prime (110413919383) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2013835 + ... + 2067935.

It is an arithmetic number, because the mean of its divisors is an integer number (1350385920).

Almost surely, 2^110413919385 is an apocalyptic number.

110413919385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110413919385 is an abundant number, since it is smaller than the sum of its proper divisors (148860177255).

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

110413919385 is a wasteful number, since it uses less digits than its factorization.

110413919385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54180 (or 54177 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 110413919385 in words is "one hundred ten billion, four hundred thirteen million, nine hundred nineteen thousand, three hundred eighty-five".