114223314240 has 448 divisors, whose sum is σ = 475382661120. Its totient is φ = 25265571840.

The previous prime is 114223314229. The next prime is 114223314299. The reversal of 114223314240 is 42413322411.

114223314240 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 233 + 1 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844419 + ... + 1905341.

Almost surely, 2^114223314240 is an apocalyptic number.

114223314240 is a gapful number since it is divisible by the number (10) 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 114223314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237691330560).

114223314240 is an abundant number, since it is smaller than the sum of its proper divisors (361159346880).

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

114223314240 is a wasteful number, since it uses less digits than its factorization.

114223314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60987 (or 60971 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114223314240 its reverse (42413322411), we get a palindrome (156636636651).

The spelling of 114223314240 in words is "one hundred fourteen billion, two hundred twenty-three million, three hundred fourteen thousand, two hundred forty".