114229389456 has 640 divisors, whose sum is σ = 422956262400. Its totient is φ = 29064075264.

The previous prime is 114229389437. The next prime is 114229389479. The reversal of 114229389456 is 654983922411.

It is a happy number.

114229389456 is a `hidden beast` number, since 1 + 1 + 4 + 22 + 93 + 89 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92343270 + ... + 92344506.

It is an arithmetic number, because the mean of its divisors is an integer number (660869160).

Almost surely, 2^114229389456 is an apocalyptic number.

114229389456 is a gapful number since it is divisible by the number (16) 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 114229389456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211478131200).

114229389456 is an abundant number, since it is smaller than the sum of its proper divisors (308726872944).

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

114229389456 is a wasteful number, since it uses less digits than its factorization.

114229389456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1291 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 114229389456 in words is "one hundred fourteen billion, two hundred twenty-nine million, three hundred eighty-nine thousand, four hundred fifty-six".