14157014697792 has 196 divisors, whose sum is σ = 42914694934980. Its totient is φ = 4629966262272.

The previous prime is 14157014697731. The next prime is 14157014697799. The reversal of 14157014697792 is 29779641075141.

It is a happy number.

14157014697792 is a `hidden beast` number, since 1 + 4 + 15 + 7 + 0 + 1 + 469 + 77 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6163819151616 + 7993195546176 = 2482704^2 + 2827224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14157014697799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 389817 + ... + 5335352.

Almost surely, 2^{14157014697792} is an apocalyptic number.

14157014697792 is a gapful number since it is divisible by the number (12) 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 14157014697792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457347467490).

14157014697792 is an abundant number, since it is smaller than the sum of its proper divisors (28757680237188).

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

14157014697792 is an frugal number, since it uses more digits than its factorization.

14157014697792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725252 (or 5725227 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 14157014697792 in words is "fourteen trillion, one hundred fifty-seven billion, fourteen million, six hundred ninety-seven thousand, seven hundred ninety-two".