1138114816337 has 8 divisors (see below), whose sum is σ = 1172864020776. Its totient is φ = 1103575577472.

The previous prime is 1138114816271. The next prime is 1138114816351. The reversal of 1138114816337 is 7336184118311.

It can be written as a sum of positive squares in 4 ways, for example, as 916990099216 + 221124717121 = 957596^2 + 470239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1138114816337 - 2⁸ = 1138114816081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1138114816291 and 1138114816300.

It is not an unprimeable number, because it can be changed into a prime (1138114816367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52480388 + ... + 52502069.

It is an arithmetic number, because the mean of its divisors is an integer number (146608002597).

Almost surely, 2^{1138114816337} is an apocalyptic number.

It is an amenable number.

1138114816337 is a deficient number, since it is larger than the sum of its proper divisors (34749204439).

1138114816337 is a wasteful number, since it uses less digits than its factorization.

1138114816337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104982787.

The product of its digits is 290304, while the sum is 47.

The spelling of 1138114816337 in words is "one trillion, one hundred thirty-eight billion, one hundred fourteen million, eight hundred sixteen thousand, three hundred thirty-seven".