1432268349312 has 128 divisors (see below), whose sum is σ = 3820708362240. Its totient is φ = 475387342848.

The previous prime is 1432268349311. The next prime is 1432268349331. The reversal of 1432268349312 is 2139438622341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1432268349311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128138668 + ... + 128149844.

It is an arithmetic number, because the mean of its divisors is an integer number (29849284080).

Almost surely, 2^{1432268349312} is an apocalyptic number.

1432268349312 is a gapful number since it is divisible by the number (12) 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 1432268349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910354181120).

1432268349312 is an abundant number, since it is smaller than the sum of its proper divisors (2388440012928).

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

1432268349312 is a wasteful number, since it uses less digits than its factorization.

1432268349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588 (or 12576 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 1432268349312 in words is "one trillion, four hundred thirty-two billion, two hundred sixty-eight million, three hundred forty-nine thousand, three hundred twelve".