114030344000000 has 140 divisors (see below), whose sum is σ = 284793840178122. Its totient is φ = 45612134400000.

The previous prime is 114030343999991. The next prime is 114030344000011. The reversal of 114030344000000 is 443030411.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 25492481784064 + 88537862215936 = 5049008^2 + 9409456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 873104 + ... + 15126896.

Almost surely, 2^{114030344000000} is an apocalyptic number.

114030344000000 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 114030344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142396920089061).

114030344000000 is an abundant number, since it is smaller than the sum of its proper divisors (170763496178122).

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

114030344000000 is an frugal number, since it uses more digits than its factorization.

114030344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14253841 (or 14253800 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 114030344000000 its reverse (443030411), we get a palindrome (114030787030411).

The spelling of 114030344000000 in words is "one hundred fourteen trillion, thirty billion, three hundred forty-four million", and thus it is an aban number.