138694343424 has 576 divisors, whose sum is σ = 471133824000. Its totient is φ = 35247882240.

The previous prime is 138694343423. The next prime is 138694343429. The reversal of 138694343424 is 424343496831.

It is a super-2 number, since 2×138694343424² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138694343423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277944327 + ... + 277944825.

Almost surely, 2^138694343424 is an apocalyptic number.

138694343424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138694343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235566912000).

138694343424 is an abundant number, since it is smaller than the sum of its proper divisors (332439480576).

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

138694343424 is a wasteful number, since it uses less digits than its factorization.

138694343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 662 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 51.

The spelling of 138694343424 in words is "one hundred thirty-eight billion, six hundred ninety-four million, three hundred forty-three thousand, four hundred twenty-four".