1311146000800 has 72 divisors (see below), whose sum is σ = 3287344307436. Its totient is φ = 510283837440.

The previous prime is 1311146000789. The next prime is 1311146000809. The reversal of 1311146000800 is 80006411131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 295670587536 + 1015475413264 = 543756^2 + 1007708^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1311146000809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22118137 + ... + 22177336.

Almost surely, 2^{1311146000800} is an apocalyptic number.

1311146000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311146000800 is an abundant number, since it is smaller than the sum of its proper divisors (1976198306636).

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

1311146000800 is a wasteful number, since it uses less digits than its factorization.

1311146000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44295530 (or 44295517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 1311146000800 in words is "one trillion, three hundred eleven billion, one hundred forty-six million, eight hundred", and thus it is an aban number.