14090684107536 has 105 divisors (see below), whose sum is σ = 40933503632581. Its totient is φ = 4696759567296.

The previous prime is 14090684107531. The next prime is 14090684107559. The reversal of 14090684107536 is 63570148609041.

The square root of 14090684107536 is 3753756.

It is a perfect power (a square), and thus also a powerful number.

14090684107536 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 0 + 68 + 41 + 0 + 7 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3404689232400 + 10685994875136 = 1845180^2 + 3268944^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14090684107531) 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 20 ways as a sum of consecutive naturals, for example, 405388270 + ... + 405423026.

Almost surely, 2^{14090684107536} is an apocalyptic number.

14090684107536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14090684107536 is the 3753756-th square number.

It is an amenable number.

14090684107536 is an abundant number, since it is smaller than the sum of its proper divisors (26842819525045).

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

14090684107536 is an frugal number, since it uses more digits than its factorization.

14090684107536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69540 (or 34762 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14090684107536 in words is "fourteen trillion, ninety billion, six hundred eighty-four million, one hundred seven thousand, five hundred thirty-six".