1352345456896 has 72 divisors (see below), whose sum is σ = 3090680237120. Its totient is φ = 578516649984.

The previous prime is 1352345456887. The next prime is 1352345456899. The reversal of 1352345456896 is 6986545432531.

It is not an unprimeable number, because it can be changed into a prime (1352345456899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290410 + ... + 1670038.

Almost surely, 2^{1352345456896} is an apocalyptic number.

1352345456896 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 1352345456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545340118560).

1352345456896 is an abundant number, since it is smaller than the sum of its proper divisors (1738334780224).

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

1352345456896 is an equidigital number, since it uses as much as digits as its factorization.

1352345456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380199 (or 1380185 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 61.

The spelling of 1352345456896 in words is "one trillion, three hundred fifty-two billion, three hundred forty-five million, four hundred fifty-six thousand, eight hundred ninety-six".