1213348406816 has 384 divisors, whose sum is σ = 3167861760000. Its totient is φ = 453314921472.

The previous prime is 1213348406789. The next prime is 1213348406827. The reversal of 1213348406816 is 6186048433121.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1320291605 + ... + 1320292523.

It is an arithmetic number, because the mean of its divisors is an integer number (8249640000).

Almost surely, 2^{1213348406816} is an apocalyptic number.

1213348406816 is a gapful number since it is divisible by the number (16) 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 1213348406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583930880000).

1213348406816 is an abundant number, since it is smaller than the sum of its proper divisors (1954513353184).

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

1213348406816 is a wasteful number, since it uses less digits than its factorization.

1213348406816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 1213348406816 in words is "one trillion, two hundred thirteen billion, three hundred forty-eight million, four hundred six thousand, eight hundred sixteen".