138848848831 has 128 divisors (see below), whose sum is σ = 200558592000. Its totient is φ = 92694067200.

The previous prime is 138848848829. The next prime is 138848848841.

138848848831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138848848831 - 2¹ = 138848848829 is a prime.

It is a super-2 number, since 2×138848848831² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138848848841) 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 127 ways as a sum of consecutive naturals, for example, 224311240 + ... + 224311858.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864000).

Almost surely, 2^138848848831 is an apocalyptic number.

138848848831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138848848831 is a deficient number, since it is larger than the sum of its proper divisors (61709743169).

138848848831 is a wasteful number, since it uses less digits than its factorization.

138848848831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013.

The product of its digits is 37748736, while the sum is 64.

The spelling of 138848848831 in words is "one hundred thirty-eight billion, eight hundred forty-eight million, eight hundred forty-eight thousand, eight hundred thirty-one".