1346233996800 has 3240 divisors, whose sum is σ = 6475852190808. Its totient is φ = 275904921600.

The previous prime is 1346233996741. The next prime is 1346233996823. The reversal of 1346233996800 is 86993326431.

1346233996800 is a `hidden beast` number, since 1 + 3 + 4 + 623 + 3 + 9 + 9 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 323 ways as a sum of consecutive naturals, for example, 18441561564 + ... + 18441561636.

Almost surely, 2^{1346233996800} is an apocalyptic number.

1346233996800 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 1346233996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237926095404).

1346233996800 is an abundant number, since it is smaller than the sum of its proper divisors (5129618194008).

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

1346233996800 is an equidigital number, since it uses as much as digits as its factorization.

1346233996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 1346233996800 in words is "one trillion, three hundred forty-six billion, two hundred thirty-three million, nine hundred ninety-six thousand, eight hundred".