2334114452000 has 96 divisors (see below), whose sum is σ = 5741467084080. Its totient is φ = 932579788800.

The previous prime is 2334114451987. The next prime is 2334114452017. The reversal of 2334114452000 is 2544114332.

It can be written as a sum of positive squares in 8 ways, for example, as 15913317904 + 2318201134096 = 126148^2 + 1522564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175316 + ... + 3840684.

Almost surely, 2^{2334114452000} is an apocalyptic number.

2334114452000 is a gapful number since it is divisible by the number (20) 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 2334114452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870733542040).

2334114452000 is an abundant number, since it is smaller than the sum of its proper divisors (3407352632080).

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

2334114452000 is an equidigital number, since it uses as much as digits as its factorization.

2334114452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666271 (or 666253 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 2334114452000 its reverse (2544114332), we get a palindrome (2336658566332).

The spelling of 2334114452000 in words is "two trillion, three hundred thirty-four billion, one hundred fourteen million, four hundred fifty-two thousand".