1338037084071 has 48 divisors (see below), whose sum is σ = 2009017788960. Its totient is φ = 857529815040.

The previous prime is 1338037084067. The next prime is 1338037084093. The reversal of 1338037084071 is 1704807308331.

1338037084071 is a `hidden beast` number, since 133 + 8 + 0 + 370 + 84 + 0 + 71 = 666.

It is not a de Polignac number, because 1338037084071 - 2² = 1338037084067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338037084031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8114976 + ... + 8278218.

It is an arithmetic number, because the mean of its divisors is an integer number (41854537270).

Almost surely, 2^{1338037084071} is an apocalyptic number.

1338037084071 is a deficient number, since it is larger than the sum of its proper divisors (670980704889).

1338037084071 is a wasteful number, since it uses less digits than its factorization.

1338037084071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163616 (or 163613 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1338037084071 in words is "one trillion, three hundred thirty-eight billion, thirty-seven million, eighty-four thousand, seventy-one".