1345103250336 has 144 divisors (see below), whose sum is σ = 4052686365000. Its totient is φ = 421728436224.

The previous prime is 1345103250311. The next prime is 1345103250341. The reversal of 1345103250336 is 6330523015431.

1345103250336 is a `hidden beast` number, since 1 + 3 + 45 + 103 + 2 + 503 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1252295283600 + 92807966736 = 1119060^2 + 304644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1345103250336² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1345103250336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7792290 + ... + 7963038.

Almost surely, 2^{1345103250336} is an apocalyptic number.

1345103250336 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 1345103250336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026343182500).

1345103250336 is an abundant number, since it is smaller than the sum of its proper divisors (2707583114664).

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

1345103250336 is a wasteful number, since it uses less digits than its factorization.

1345103250336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172391 (or 172380 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1345103250336 its reverse (6330523015431), we get a palindrome (7675626265767).

The spelling of 1345103250336 in words is "one trillion, three hundred forty-five billion, one hundred three million, two hundred fifty thousand, three hundred thirty-six".