111111001100064 has 72 divisors (see below), whose sum is σ = 361110753581760. Its totient is φ = 31746000313728.

The previous prime is 111111001100063. The next prime is 111111001100069. The reversal of 111111001100064 is 460001100111111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111111001100063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27557289924 + ... + 27557293955.

It is an arithmetic number, because the mean of its divisors is an integer number (5015427133080).

Almost surely, 2^{111111001100064} is an apocalyptic number.

111111001100064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

111111001100064 is an abundant number, since it is smaller than the sum of its proper divisors (249999752481696).

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

111111001100064 is a wasteful number, since it uses less digits than its factorization.

111111001100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55114583902 (or 55114583891 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 111111001100064 its reverse (460001100111111), we get a palindrome (571112101211175).

The spelling of 111111001100064 in words is "one hundred eleven trillion, one hundred eleven billion, one million, one hundred thousand, sixty-four".