1338947064000 has 1792 divisors, whose sum is σ = 6403339837440. Its totient is φ = 265818931200.

The previous prime is 1338947063999. The next prime is 1338947064023. The reversal of 1338947064000 is 4607498331.

1338947064000 is a `hidden beast` number, since 133 + 8 + 9 + 470 + 6 + 40 + 0 + 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 255 ways as a sum of consecutive naturals, for example, 334149997 + ... + 334154003.

It is an arithmetic number, because the mean of its divisors is an integer number (3573292320).

Almost surely, 2^{1338947064000} is an apocalyptic number.

1338947064000 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 1338947064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201669918720).

1338947064000 is an abundant number, since it is smaller than the sum of its proper divisors (5064392773440).

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

1338947064000 is a wasteful number, since it uses less digits than its factorization.

1338947064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1338947064000 in words is "one trillion, three hundred thirty-eight billion, nine hundred forty-seven million, sixty-four thousand".