114057216000 has 1632 divisors, whose sum is σ = 535876967808. Its totient is φ = 22649241600.

The previous prime is 114057215999. The next prime is 114057216037. The reversal of 114057216000 is 612750411.

It is a happy number.

114057216000 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 57 + 2 + 1 + 600 + 0 = 666.

114057216000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a congruent number.

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, 6709247992 + ... + 6709248008.

Almost surely, 2^114057216000 is an apocalyptic number.

114057216000 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 114057216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267938483904).

114057216000 is an abundant number, since it is smaller than the sum of its proper divisors (421819751808).

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

114057216000 is an equidigital number, since it uses as much as digits as its factorization.

114057216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 114057216000 its reverse (612750411), we get a palindrome (114669966411).

The spelling of 114057216000 in words is "one hundred fourteen billion, fifty-seven million, two hundred sixteen thousand".