110417385104772 has 24 divisors (see below), whose sum is σ = 265951551220992. Its totient is φ = 35618511324000.

The previous prime is 110417385104707. The next prime is 110417385104849. The reversal of 110417385104772 is 277401583714011.

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 7 ways as a sum of consecutive naturals, for example, 148410463479 + ... + 148410464222.

It is an arithmetic number, because the mean of its divisors is an integer number (11081314634208).

Almost surely, 2^{110417385104772} is an apocalyptic number.

110417385104772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110417385104772 is an abundant number, since it is smaller than the sum of its proper divisors (155534166116220).

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

110417385104772 is a wasteful number, since it uses less digits than its factorization.

110417385104772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296820927739 (or 296820927737 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 110417385104772 in words is "one hundred ten trillion, four hundred seventeen billion, three hundred eighty-five million, one hundred four thousand, seven hundred seventy-two".