114535045200000 has 384 divisors, whose sum is σ = 402636569610240. Its totient is φ = 28746045440000.

The previous prime is 114535045199963. The next prime is 114535045200071. The reversal of 114535045200000 is 2540535411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17592769 + ... + 23207231.

It is an arithmetic number, because the mean of its divisors is an integer number (1048532733360).

Almost surely, 2^{114535045200000} is an apocalyptic number.

114535045200000 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 114535045200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201318284805120).

114535045200000 is an abundant number, since it is smaller than the sum of its proper divisors (288101524410240).

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

114535045200000 is an frugal number, since it uses more digits than its factorization.

114535045200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614522 (or 5614490 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 114535045200000 its reverse (2540535411), we get a palindrome (114537585735411).

The spelling of 114535045200000 in words is "one hundred fourteen trillion, five hundred thirty-five billion, forty-five million, two hundred thousand".