114505454400000 has 480 divisors, whose sum is σ = 382044948183360. Its totient is φ = 30474147840000.

The previous prime is 114505454399977. The next prime is 114505454400023. The reversal of 114505454400000 is 4454505411.

It is an interprime number because it is at equal distance from previous prime (114505454399977) and next prime (114505454400023).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×114505454400000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443176567 + ... + 2443223433.

It is an arithmetic number, because the mean of its divisors is an integer number (795926975382).

Almost surely, 2^{114505454400000} is an apocalyptic number.

114505454400000 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 114505454400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191022474091680).

114505454400000 is an abundant number, since it is smaller than the sum of its proper divisors (267539493783360).

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

114505454400000 is an frugal number, since it uses more digits than its factorization.

114505454400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47422 (or 47386 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 114505454400000 in words is "one hundred fourteen trillion, five hundred five billion, four hundred fifty-four million, four hundred thousand".