1345323349512 has 288 divisors, whose sum is σ = 3977403393600. Its totient is φ = 410245887744.

The previous prime is 1345323349511. The next prime is 1345323349519. The reversal of 1345323349512 is 2159433235431.

1345323349512 is a `hidden beast` number, since 1 + 34 + 5 + 32 + 33 + 49 + 512 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1345323349511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118181373 + ... + 118192755.

It is an arithmetic number, because the mean of its divisors is an integer number (13810428450).

Almost surely, 2^{1345323349512} is an apocalyptic number.

1345323349512 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 1345323349512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988701696800).

1345323349512 is an abundant number, since it is smaller than the sum of its proper divisors (2632080044088).

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

1345323349512 is a wasteful number, since it uses less digits than its factorization.

1345323349512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577 (or 11547 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 1345323349512 in words is "one trillion, three hundred forty-five billion, three hundred twenty-three million, three hundred forty-nine thousand, five hundred twelve".