138322493631744 has 216 divisors, whose sum is σ = 388581897866400. Its totient is φ = 43675526025216.

The previous prime is 138322493631743. The next prime is 138322493631781. The reversal of 138322493631744 is 447136394223831.

It is a super-2 number, since 2×138322493631744² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138322493631743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2758315279 + ... + 2758365425.

It is an arithmetic number, because the mean of its divisors is an integer number (1798990267900).

Almost surely, 2^{138322493631744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138322493631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194290948933200).

138322493631744 is an abundant number, since it is smaller than the sum of its proper divisors (250259404234656).

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

138322493631744 is an equidigital number, since it uses as much as digits as its factorization.

138322493631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60153 (or 60120 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 60.

The spelling of 138322493631744 in words is "one hundred thirty-eight trillion, three hundred twenty-two billion, four hundred ninety-three million, six hundred thirty-one thousand, seven hundred forty-four".