14138693192448 has 360 divisors, whose sum is σ = 47991318794496. Its totient is φ = 4098170419200.

The previous prime is 14138693192387. The next prime is 14138693192461. The reversal of 14138693192448 is 84429139683141.

14138693192448 is a `hidden beast` number, since 1 + 4 + 1 + 386 + 9 + 3 + 1 + 9 + 244 + 8 = 666.

It is a super-3 number, since 3×14138693192448³ (a number of 40 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3898693 + ... + 6593723.

Almost surely, 2^{14138693192448} is an apocalyptic number.

14138693192448 is a gapful number since it is divisible by the number (18) 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 14138693192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23995659397248).

14138693192448 is an abundant number, since it is smaller than the sum of its proper divisors (33852625602048).

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

14138693192448 is a wasteful number, since it uses less digits than its factorization.

14138693192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695093 (or 2695070 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 14138693192448 in words is "fourteen trillion, one hundred thirty-eight billion, six hundred ninety-three million, one hundred ninety-two thousand, four hundred forty-eight".