14563903761 has 135 divisors (see below), whose sum is σ = 25479065227. Its totient is φ = 8283543840.

The previous prime is 14563903751. The next prime is 14563903787. The reversal of 14563903761 is 16730936541.

It is a happy number.

The square root of 14563903761 is 120681.

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

14563903761 is a `hidden beast` number, since 1 + 4 + 5 + 639 + 0 + 3 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10499076225 + 4064827536 = 102465^2 + 63756^2 .

It is not a de Polignac number, because 14563903761 - 2¹¹ = 14563901713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14563903721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 274790611 + ... + 274790663.

Almost surely, 2^14563903761 is an apocalyptic number.

14563903761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14563903761 is the 120681-st square number.

14563903761 is the 60341-st centered octagonal number.

It is an amenable number.

14563903761 is a deficient number, since it is larger than the sum of its proper divisors (10915161466).

14563903761 is an equidigital number, since it uses as much as digits as its factorization.

14563903761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 14563903761 in words is "fourteen billion, five hundred sixty-three million, nine hundred three thousand, seven hundred sixty-one".