110777087105664 has 64 divisors (see below), whose sum is σ = 336287585864640. Its totient is φ = 31650596315136.

The previous prime is 110777087105647. The next prime is 110777087105683. The reversal of 110777087105664 is 466501780777011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 110777087105598 and 110777087105607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20605854289 + ... + 20605859664.

It is an arithmetic number, because the mean of its divisors is an integer number (5254493529135).

Almost surely, 2^{110777087105664} is an apocalyptic number.

110777087105664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

110777087105664 is an abundant number, since it is smaller than the sum of its proper divisors (225510498758976).

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

110777087105664 is an equidigital number, since it uses as much as digits as its factorization.

110777087105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41211713977 (or 41211713965 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 60.

The spelling of 110777087105664 in words is "one hundred ten trillion, seven hundred seventy-seven billion, eighty-seven million, one hundred five thousand, six hundred sixty-four".