1345115116224 has 168 divisors, whose sum is σ = 4206927945792. Its totient is φ = 407523847680.

The previous prime is 1345115116223. The next prime is 1345115116249. The reversal of 1345115116224 is 4226115115431.

1345115116224 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 15 + 11 + 622 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1345115116223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33706587 + ... + 33746469.

Almost surely, 2^{1345115116224} 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 1345115116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103463972896).

1345115116224 is an abundant number, since it is smaller than the sum of its proper divisors (2861812829568).

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

1345115116224 is a wasteful number, since it uses less digits than its factorization.

1345115116224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45235 (or 45222 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 1345115116224 in words is "one trillion, three hundred forty-five billion, one hundred fifteen million, one hundred sixteen thousand, two hundred twenty-four".