14257507936 has 192 divisors, whose sum is σ = 34126202880. Its totient is φ = 5736407040.

The previous prime is 14257507909. The next prime is 14257507969. The reversal of 14257507936 is 63970575241.

It is a self number, because there is not a number n which added to its sum of digits gives 14257507936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31197820 + ... + 31198276.

It is an arithmetic number, because the mean of its divisors is an integer number (177740640).

Almost surely, 2^14257507936 is an apocalyptic number.

14257507936 is a gapful number since it is divisible by the number (16) 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 14257507936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063101440).

14257507936 is an abundant number, since it is smaller than the sum of its proper divisors (19868694944).

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

14257507936 is a wasteful number, since it uses less digits than its factorization.

14257507936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 14257507936 in words is "fourteen billion, two hundred fifty-seven million, five hundred seven thousand, nine hundred thirty-six".