1346783808800 has 72 divisors (see below), whose sum is σ = 3376696479156. Its totient is φ = 524153687040.

The previous prime is 1346783808787. The next prime is 1346783808809. The reversal of 1346783808800 is 88083876431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 504287457424 + 842496351376 = 710132^2 + 917876^2 .

It is not an unprimeable number, because it can be changed into a prime (1346783808809) 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, 22720127 + ... + 22779326.

Almost surely, 2^{1346783808800} is an apocalyptic number.

1346783808800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346783808800 is an abundant number, since it is smaller than the sum of its proper divisors (2029912670356).

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

1346783808800 is a wasteful number, since it uses less digits than its factorization.

1346783808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45499510 (or 45499497 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 1346783808800 in words is "one trillion, three hundred forty-six billion, seven hundred eighty-three million, eight hundred eight thousand, eight hundred".