1338547806000 has 480 divisors, whose sum is σ = 4798447879680. Its totient is φ = 347651136000.

The previous prime is 1338547805957. The next prime is 1338547806041. The reversal of 1338547806000 is 6087458331.

1338547806000 is a `hidden beast` number, since 1 + 3 + 38 + 5 + 4 + 7 + 8 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106067691 + ... + 106080309.

It is an arithmetic number, because the mean of its divisors is an integer number (9996766416).

Almost surely, 2^{1338547806000} is an apocalyptic number.

1338547806000 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 1338547806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399223939840).

1338547806000 is an abundant number, since it is smaller than the sum of its proper divisors (3459900073680).

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

1338547806000 is a wasteful number, since it uses less digits than its factorization.

1338547806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1338547806000 in words is "one trillion, three hundred thirty-eight billion, five hundred forty-seven million, eight hundred six thousand".