114317841456 has 480 divisors, whose sum is σ = 412678809088. Its totient is φ = 29829980160.

The previous prime is 114317841439. The next prime is 114317841493. The reversal of 114317841456 is 654148713411.

114317841456 is a `hidden beast` number, since 1 + 1 + 431 + 78 + 4 + 145 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34317711 + ... + 34321041.

Almost surely, 2^114317841456 is an apocalyptic number.

114317841456 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 114317841456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206339404544).

114317841456 is an abundant number, since it is smaller than the sum of its proper divisors (298360967632).

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

114317841456 is a wasteful number, since it uses less digits than its factorization.

114317841456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3453 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 114317841456 in words is "one hundred fourteen billion, three hundred seventeen million, eight hundred forty-one thousand, four hundred fifty-six".