1345431033144 has 96 divisors (see below), whose sum is σ = 4042512489600. Its totient is φ = 400796082240.

The previous prime is 1345431033137. The next prime is 1345431033151. The reversal of 1345431033144 is 4413301345431.

1345431033144 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 310 + 331 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1345431033137) and next prime (1345431033151).

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

It is a junction number, because it is equal to n+sod(n) for n = 1345431033099 and 1345431033108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14349684 + ... + 14443139.

It is an arithmetic number, because the mean of its divisors is an integer number (42109505100).

Almost surely, 2^{1345431033144} is an apocalyptic number.

It is an amenable number.

1345431033144 is an abundant number, since it is smaller than the sum of its proper divisors (2697081456456).

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

1345431033144 is a wasteful number, since it uses less digits than its factorization.

1345431033144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28792905 (or 28792898 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1345431033144 its reverse (4413301345431), we get a palindrome (5758732378575).

The spelling of 1345431033144 in words is "one trillion, three hundred forty-five billion, four hundred thirty-one million, thirty-three thousand, one hundred forty-four".