114508800000 has 1008 divisors, whose sum is σ = 479172081024. Its totient is φ = 25804800000.

The previous prime is 114508799969. The next prime is 114508800061. The reversal of 114508800000 is 8805411.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×114508800000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1612799965 + ... + 1612800035.

It is an arithmetic number, because the mean of its divisors is an integer number (475369128).

Almost surely, 2^114508800000 is an apocalyptic number.

114508800000 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 114508800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239586040512).

114508800000 is an abundant number, since it is smaller than the sum of its proper divisors (364663281024).

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

114508800000 is an frugal number, since it uses more digits than its factorization.

114508800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 114508800000 in words is "one hundred fourteen billion, five hundred eight million, eight hundred thousand".