14131948008024 has 480 divisors, whose sum is σ = 50208205881600. Its totient is φ = 3511000817280.

The previous prime is 14131948007951. The next prime is 14131948008103. The reversal of 14131948008024 is 42080084913141.

14131948008024 is a `hidden beast` number, since 1 + 41 + 31 + 9 + 480 + 0 + 80 + 24 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 169676839 + ... + 169760105.

It is an arithmetic number, because the mean of its divisors is an integer number (104600428920).

Almost surely, 2^{14131948008024} is an apocalyptic number.

14131948008024 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 14131948008024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25104102940800).

14131948008024 is an abundant number, since it is smaller than the sum of its proper divisors (36076257873576).

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

14131948008024 is a wasteful number, since it uses less digits than its factorization.

14131948008024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83353 (or 83313 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14131948008024 in words is "fourteen trillion, one hundred thirty-one billion, nine hundred forty-eight million, eight thousand, twenty-four".