114223413344000 has 144 divisors (see below), whose sum is σ = 284681308556736. Its totient is φ = 45667446272000.

The previous prime is 114223413343999. The next prime is 114223413344041. The reversal of 114223413344000 is 443314322411.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 65928830 + ... + 67639170.

It is an arithmetic number, because the mean of its divisors is an integer number (1976953531644).

Almost surely, 2^{114223413344000} is an apocalyptic number.

114223413344000 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 114223413344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142340654278368).

114223413344000 is an abundant number, since it is smaller than the sum of its proper divisors (170457895212736).

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

114223413344000 is an equidigital number, since it uses as much as digits as its factorization.

114223413344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712459 (or 1712435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 114223413344000 its reverse (443314322411), we get a palindrome (114666727666411).

The spelling of 114223413344000 in words is "one hundred fourteen trillion, two hundred twenty-three billion, four hundred thirteen million, three hundred forty-four thousand".