1338236695728 has 560 divisors, whose sum is σ = 4170006290016. Its totient is φ = 415156285440.

The previous prime is 1338236695667. The next prime is 1338236695771. The reversal of 1338236695728 is 8275966328331.

It is a happy number.

1338236695728 is a `hidden beast` number, since 1 + 3 + 38 + 23 + 6 + 6 + 9 + 572 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 937796551 + ... + 937797977.

Almost surely, 2^{1338236695728} is an apocalyptic number.

1338236695728 is a gapful number since it is divisible by the number (18) 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 1338236695728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085003145008).

1338236695728 is an abundant number, since it is smaller than the sum of its proper divisors (2831769594288).

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

1338236695728 is a wasteful number, since it uses less digits than its factorization.

1338236695728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1563 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 1338236695728 in words is "one trillion, three hundred thirty-eight billion, two hundred thirty-six million, six hundred ninety-five thousand, seven hundred twenty-eight".