14745487761 has 27 divisors (see below), whose sum is σ = 22635128113. Its totient is φ = 9248184960.

The previous prime is 14745487753. The next prime is 14745487777. The reversal of 14745487761 is 16778454741.

The square root of 14745487761 is 121431.

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

14745487761 is a `hidden beast` number, since 1 + 47 + 454 + 87 + 76 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2917620225 + 11827867536 = 54015^2 + 108756^2 .

It is not a de Polignac number, because 14745487761 - 2³ = 14745487753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14745487698 and 14745487707.

It is not an unprimeable number, because it can be changed into a prime (14745487711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6191791 + ... + 6194171.

Almost surely, 2^14745487761 is an apocalyptic number.

14745487761 is the 121431-st square number.

14745487761 is the 60716-th centered octagonal number.

It is an amenable number.

14745487761 is a deficient number, since it is larger than the sum of its proper divisors (7889640352).

14745487761 is an frugal number, since it uses more digits than its factorization.

14745487761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 2401 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 14745487761 in words is "fourteen billion, seven hundred forty-five million, four hundred eighty-seven thousand, seven hundred sixty-one".