114514206400000 has 360 divisors, whose sum is σ = 314350577541000. Its totient is φ = 41641459200000.

The previous prime is 114514206399899. The next prime is 114514206400123. The reversal of 114514206400000 is 4602415411.

It is a super-2 number, since 2×114514206400000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 193304251 + ... + 193895749.

It is an arithmetic number, because the mean of its divisors is an integer number (873196048725).

Almost surely, 2^{114514206400000} is an apocalyptic number.

114514206400000 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 114514206400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157175288770500).

114514206400000 is an abundant number, since it is smaller than the sum of its proper divisors (199836371141000).

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

114514206400000 is an frugal number, since it uses more digits than its factorization.

114514206400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591564 (or 591517 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 114514206400000 its reverse (4602415411), we get a palindrome (114518808815411).

The spelling of 114514206400000 in words is "one hundred fourteen trillion, five hundred fourteen billion, two hundred six million, four hundred thousand".