114221323104 has 96 divisors (see below), whose sum is σ = 343174487040. Its totient is φ = 32586043392.

The previous prime is 114221323049. The next prime is 114221323157. The reversal of 114221323104 is 401323122411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325977 + ... + 578535.

It is an arithmetic number, because the mean of its divisors is an integer number (3574734240).

Almost surely, 2^114221323104 is an apocalyptic number.

114221323104 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 114221323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171587243520).

114221323104 is an abundant number, since it is smaller than the sum of its proper divisors (228953163936).

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

114221323104 is a wasteful number, since it uses less digits than its factorization.

114221323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253252 (or 253244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114221323104 its reverse (401323122411), we get a palindrome (515544445515).

The spelling of 114221323104 in words is "one hundred fourteen billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred four".