1345311450000 has 960 divisors, whose sum is σ = 5707509696000. Its totient is φ = 296835840000.

The previous prime is 1345311449959. The next prime is 1345311450017. The reversal of 1345311450000 is 541135431.

It is a happy number.

1345311450000 is a `hidden beast` number, since 1 + 3 + 45 + 3 + 114 + 500 + 0 + 0 = 666.

It is a super-2 number, since 2×1345311450000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274047546 + ... + 274052454.

It is an arithmetic number, because the mean of its divisors is an integer number (5945322600).

Almost surely, 2^{1345311450000} is an apocalyptic number.

1345311450000 is a gapful number since it is divisible by the number (10) 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 1345311450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853754848000).

1345311450000 is an abundant number, since it is smaller than the sum of its proper divisors (4362198246000).

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

1345311450000 is an equidigital number, since it uses as much as digits as its factorization.

1345311450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1345311450000 its reverse (541135431), we get a palindrome (1345852585431).

The spelling of 1345311450000 in words is "one trillion, three hundred forty-five billion, three hundred eleven million, four hundred fifty thousand".