1345564416 has 144 divisors (see below), whose sum is σ = 4333803264. Its totient is φ = 361807872.

The previous prime is 1345564411. The next prime is 1345564421. The reversal of 1345564416 is 6144655431.

It is an interprime number because it is at equal distance from previous prime (1345564411) and next prime (1345564421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345564411) 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, 84031 + ... + 98753.

It is an arithmetic number, because the mean of its divisors is an integer number (30095856).

Almost surely, 2^1345564416 is an apocalyptic number.

1345564416 is a gapful number since it is divisible by the number (16) 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 1345564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166901632).

1345564416 is an abundant number, since it is smaller than the sum of its proper divisors (2988238848).

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

1345564416 is a wasteful number, since it uses less digits than its factorization.

1345564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14766 (or 14752 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 1345564416 is about 36681.9358267799. The cubic root of 1345564416 is about 1103.9976895562.

The spelling of 1345564416 in words is "one billion, three hundred forty-five million, five hundred sixty-four thousand, four hundred sixteen".