1314234002268 has 144 divisors (see below), whose sum is σ = 3664988046720. Its totient is φ = 393781564800.

The previous prime is 1314234002267. The next prime is 1314234002281. The reversal of 1314234002268 is 8622004324131.

1314234002268 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 23 + 400 + 226 + 8 = 666.

It is a super-2 number, since 2×1314234002268² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314234002267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14323923 + ... + 14415381.

It is an arithmetic number, because the mean of its divisors is an integer number (25451305880).

Almost surely, 2^{1314234002268} is an apocalyptic number.

1314234002268 is a gapful number since it is divisible by the number (18) 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 1314234002268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832494023360).

1314234002268 is an abundant number, since it is smaller than the sum of its proper divisors (2350754044452).

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

1314234002268 is a wasteful number, since it uses less digits than its factorization.

1314234002268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91888 (or 91883 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 1314234002268 its reverse (8622004324131), we get a palindrome (9936238326399).

The spelling of 1314234002268 in words is "one trillion, three hundred fourteen billion, two hundred thirty-four million, two thousand, two hundred sixty-eight".