2303144400312 has 256 divisors, whose sum is σ = 7468030080000. Its totient is φ = 644057464320.

The previous prime is 2303144400301. The next prime is 2303144400313. The reversal of 2303144400312 is 2130044413032.

2303144400312 is a `hidden beast` number, since 2 + 30 + 314 + 4 + 4 + 0 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303144400313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20372262 + ... + 20485002.

It is an arithmetic number, because the mean of its divisors is an integer number (29171992500).

Almost surely, 2^{2303144400312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303144400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734015040000).

2303144400312 is an abundant number, since it is smaller than the sum of its proper divisors (5164885679688).

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

2303144400312 is a wasteful number, since it uses less digits than its factorization.

2303144400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113051 (or 113041 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2303144400312 its reverse (2130044413032), we get a palindrome (4433188813344).

The spelling of 2303144400312 in words is "two trillion, three hundred three billion, one hundred forty-four million, four hundred thousand, three hundred twelve".