114408298368000 has 5280 divisors, whose sum is σ = 566113327940160. Its totient is φ = 22696663449600.

The previous prime is 114408298367989. The next prime is 114408298368043. The reversal of 114408298368000 is 863892804411.

It is a happy number.

114408298368000 is a `hidden beast` number, since 1 + 1 + 440 + 8 + 2 + 98 + 36 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×114408298368000² (a number of 29 digits) contains 22 as substring.

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 479 ways as a sum of consecutive naturals, for example, 112275071491 + ... + 112275072509.

It is an arithmetic number, because the mean of its divisors is an integer number (107218433322).

Almost surely, 2^{114408298368000} is an apocalyptic number.

114408298368000 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 114408298368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283056663970080).

114408298368000 is an abundant number, since it is smaller than the sum of its proper divisors (451705029572160).

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

114408298368000 is a wasteful number, since it uses less digits than its factorization.

114408298368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 114408298368000 in words is "one hundred fourteen trillion, four hundred eight billion, two hundred ninety-eight million, three hundred sixty-eight thousand".