114344114101300 has 144 divisors (see below), whose sum is σ = 266500685364480. Its totient is φ = 42428479744000.

The previous prime is 114344114101277. The next prime is 114344114101339. The reversal of 114344114101300 is 3101411443411.

It is a super-2 number, since 2×114344114101300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 417605841 + ... + 417879559.

It is an arithmetic number, because the mean of its divisors is an integer number (1850699203920).

Almost surely, 2^{114344114101300} is an apocalyptic number.

114344114101300 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 114344114101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133250342682240).

114344114101300 is an abundant number, since it is smaller than the sum of its proper divisors (152156571263180).

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

114344114101300 is a wasteful number, since it uses less digits than its factorization.

114344114101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277282 (or 277275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 114344114101300 its reverse (3101411443411), we get a palindrome (117445525544711).

The spelling of 114344114101300 in words is "one hundred fourteen trillion, three hundred forty-four billion, one hundred fourteen million, one hundred one thousand, three hundred".