110400135113322 has 64 divisors (see below), whose sum is σ = 247886252190720. Its totient is φ = 36417644766000.

The previous prime is 110400135113251. The next prime is 110400135113371. The reversal of 110400135113322 is 223311531004011.

110400135113322 is a `hidden beast` number, since 1 + 10 + 400 + 135 + 113 + 3 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230697 + ... + 14910227.

It is an arithmetic number, because the mean of its divisors is an integer number (3873222690480).

Almost surely, 2^{110400135113322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110400135113322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123943126095360).

110400135113322 is an abundant number, since it is smaller than the sum of its proper divisors (137486117077398).

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

110400135113322 is a wasteful number, since it uses less digits than its factorization.

110400135113322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13681096 (or 13681090 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 110400135113322 its reverse (223311531004011), we get a palindrome (333711666117333).

The spelling of 110400135113322 in words is "one hundred ten trillion, four hundred billion, one hundred thirty-five million, one hundred thirteen thousand, three hundred twenty-two".