14611732641 has 105 divisors (see below), whose sum is σ = 24767090355. Its totient is φ = 8616255120.

The previous prime is 14611732627. The next prime is 14611732649. The reversal of 14611732641 is 14623711641.

The square root of 14611732641 is 120879.

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

14611732641 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 1 + 7 + 3 + 2 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13074779025 + 1536953616 = 114345^2 + 39204^2 .

It is not a de Polignac number, because 14611732641 - 2¹⁵ = 14611699873 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14611732596 and 14611732605.

It is not an unprimeable number, because it can be changed into a prime (14611732649) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 394911675 + ... + 394911711.

It is an arithmetic number, because the mean of its divisors is an integer number (235877051).

Almost surely, 2^14611732641 is an apocalyptic number.

14611732641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14611732641 is the 120879-th square number.

14611732641 is the 60440-th centered octagonal number.

It is an amenable number.

14611732641 is a deficient number, since it is larger than the sum of its proper divisors (10155357714).

14611732641 is an frugal number, since it uses more digits than its factorization.

14611732641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 51 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Multiplying 14611732641 by its sum of digits (36), we get a square (526022375076 = 725274²).

The spelling of 14611732641 in words is "fourteen billion, six hundred eleven million, seven hundred thirty-two thousand, six hundred forty-one".