1142345105312 has 96 divisors (see below), whose sum is σ = 2335436485200. Its totient is φ = 549372837888.

The previous prime is 1142345105269. The next prime is 1142345105327. The reversal of 1142345105312 is 2135015432411.

It can be written as a sum of positive squares in 8 ways, for example, as 111478525456 + 1030866579856 = 333884^2 + 1015316^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 403226648 + ... + 403229480.

Almost surely, 2^{1142345105312} 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 1142345105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167718242600).

1142345105312 is an abundant number, since it is smaller than the sum of its proper divisors (1193091379888).

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

1142345105312 is a wasteful number, since it uses less digits than its factorization.

1142345105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 1142345105312 in words is "one trillion, one hundred forty-two billion, three hundred forty-five million, one hundred five thousand, three hundred twelve".