14057499456 has 1176 divisors, whose sum is σ = 58487181984. Its totient is φ = 3292047360.

The previous prime is 14057499403. The next prime is 14057499479. The reversal of 14057499456 is 65499475041.

14057499456 is a `hidden beast` number, since 14 + 0 + 574 + 9 + 9 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-3 number, since 3×14057499456³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 326918571 + ... + 326918613.

Almost surely, 2^14057499456 is an apocalyptic number.

14057499456 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 14057499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29243590992).

14057499456 is an abundant number, since it is smaller than the sum of its proper divisors (44429682528).

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

14057499456 is a wasteful number, since it uses less digits than its factorization.

14057499456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 14057499456 in words is "fourteen billion, fifty-seven million, four hundred ninety-nine thousand, four hundred fifty-six".