110138989320864 has 864 divisors, whose sum is σ = 380555082717264. Its totient is φ = 30103177789440.

The previous prime is 110138989320839. The next prime is 110138989320889. The reversal of 110138989320864 is 468023989831011.

110138989320864 is a `hidden beast` number, since 1 + 10 + 138 + 98 + 9 + 320 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (110138989320839) and next prime (110138989320889).

It can be written as a sum of positive squares in 8 ways, for example, as 53192224890000 + 56946764430864 = 7293300^2 + 7546308^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7307030832 + ... + 7307045904.

Almost surely, 2^{110138989320864} is an apocalyptic number.

110138989320864 is a gapful number since it is divisible by the number (14) 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 110138989320864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190277541358632).

110138989320864 is an abundant number, since it is smaller than the sum of its proper divisors (270416093396400).

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

110138989320864 is a wasteful number, since it uses less digits than its factorization.

110138989320864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15390 (or 15372 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 110138989320864 in words is "one hundred ten trillion, one hundred thirty-eight billion, nine hundred eighty-nine million, three hundred twenty thousand, eight hundred sixty-four".