114207408000 has 640 divisors, whose sum is σ = 484803633600. Its totient is φ = 26102476800.

The previous prime is 114207407981. The next prime is 114207408013. The reversal of 114207408000 is 804702411.

It is a tau number, because it is divible by the number of its divisors (640).

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9065706 + ... + 9078294.

Almost surely, 2^114207408000 is an apocalyptic number.

114207408000 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 114207408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242401816800).

114207408000 is an abundant number, since it is smaller than the sum of its proper divisors (370596225600).

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

114207408000 is an equidigital number, since it uses as much as digits as its factorization.

114207408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 114207408000 in words is "one hundred fourteen billion, two hundred seven million, four hundred eight thousand".