1349468096800 has 36 divisors (see below), whose sum is σ = 3294388993266. Its totient is φ = 539787238400.

The previous prime is 1349468096791. The next prime is 1349468096803. The reversal of 1349468096800 is 86908649431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 710574817936 + 638893278864 = 842956^2 + 799308^2 .

It is not an unprimeable number, because it can be changed into a prime (1349468096803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 843416761 + ... + 843418360.

Almost surely, 2^{1349468096800} is an apocalyptic number.

1349468096800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349468096800 is an abundant number, since it is smaller than the sum of its proper divisors (1944920896466).

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

1349468096800 is a wasteful number, since it uses less digits than its factorization.

1349468096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686835141 (or 1686835128 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 1349468096800 in words is "one trillion, three hundred forty-nine billion, four hundred sixty-eight million, ninety-six thousand, eight hundred".