1213813399824 has 45 divisors (see below), whose sum is σ = 3397028667799. Its totient is φ = 404600059680.

The previous prime is 1213813399817. The next prime is 1213813399829. The reversal of 1213813399824 is 4289933183121.

The square root of 1213813399824 is 1101732.

It is a perfect power (a square), and thus also a powerful number.

1213813399824 is a `hidden beast` number, since 1 + 213 + 8 + 1 + 339 + 98 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1213813399829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13174879 + ... + 13266689.

Almost surely, 2^{1213813399824} is an apocalyptic number.

1213813399824 is the 1101732-nd square number.

It is an amenable number.

1213813399824 is an abundant number, since it is smaller than the sum of its proper divisors (2183215267975).

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

1213813399824 is an frugal number, since it uses more digits than its factorization.

1213813399824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183636 (or 91816 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 1213813399824 in words is "one trillion, two hundred thirteen billion, eight hundred thirteen million, three hundred ninety-nine thousand, eight hundred twenty-four".