1138519117359 has 72 divisors (see below), whose sum is σ = 1832690729520. Its totient is φ = 698548136832.

The previous prime is 1138519117331. The next prime is 1138519117397. The reversal of 1138519117359 is 9537119158311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1138519117359 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 519 + 1 + 1 + 73 + 59 = 666.

It is not a de Polignac number, because 1138519117359 - 2⁷ = 1138519117231 is a prime.

It is a super-3 number, since 3×1138519117359³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138519117459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3378394839 + ... + 3378395175.

It is an arithmetic number, because the mean of its divisors is an integer number (25454037910).

Almost surely, 2^{1138519117359} is an apocalyptic number.

1138519117359 is a deficient number, since it is larger than the sum of its proper divisors (694171612161).

1138519117359 is an frugal number, since it uses more digits than its factorization.

1138519117359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 353 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 54.

The spelling of 1138519117359 in words is "one trillion, one hundred thirty-eight billion, five hundred nineteen million, one hundred seventeen thousand, three hundred fifty-nine".