14157296384 has 432 divisors, whose sum is σ = 38251906560. Its totient is φ = 5163540480.

The previous prime is 14157296381. The next prime is 14157296401. The reversal of 14157296384 is 48369275141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14157296381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239954147 + ... + 239954205.

It is an arithmetic number, because the mean of its divisors is an integer number (88546080).

Almost surely, 2^14157296384 is an apocalyptic number.

14157296384 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 14157296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125953280).

14157296384 is an abundant number, since it is smaller than the sum of its proper divisors (24094610176).

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

14157296384 is a wasteful number, since it uses less digits than its factorization.

14157296384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The spelling of 14157296384 in words is "fourteen billion, one hundred fifty-seven million, two hundred ninety-six thousand, three hundred eighty-four".