14005057536 has 144 divisors (see below), whose sum is σ = 40855094280. Its totient is φ = 4621516800.

The previous prime is 14005057481. The next prime is 14005057571. The reversal of 14005057536 is 63575050041.

14005057536 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 50 + 575 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14005057536² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14005057536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857871 + ... + 1865393.

Almost surely, 2^14005057536 is an apocalyptic number.

14005057536 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 14005057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427547140).

14005057536 is an abundant number, since it is smaller than the sum of its proper divisors (26850036744).

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

14005057536 is a wasteful number, since it uses less digits than its factorization.

14005057536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

It can be divided in two parts, 1400505 and 7536, that added together give a palindrome (1408041).

The spelling of 14005057536 in words is "fourteen billion, five million, fifty-seven thousand, five hundred thirty-six".