1345530880512 has 1800 divisors, whose sum is σ = 5296718636748. Its totient is φ = 336938434560.

The previous prime is 1345530880493. The next prime is 1345530880517. The reversal of 1345530880512 is 2150880355431.

1345530880512 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 53 + 0 + 8 + 80 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1336742942976 + 8787937536 = 1156176^2 + 93744^2 .

It is a super-2 number, since 2×1345530880512² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345530880517) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 25387375078 + ... + 25387375130.

Almost surely, 2^{1345530880512} is an apocalyptic number.

1345530880512 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 1345530880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648359318374).

1345530880512 is an abundant number, since it is smaller than the sum of its proper divisors (3951187756236).

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

1345530880512 is an equidigital number, since it uses as much as digits as its factorization.

1345530880512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1345530880512 in words is "one trillion, three hundred forty-five billion, five hundred thirty million, eight hundred eighty thousand, five hundred twelve".