14976619641 has 45 divisors (see below), whose sum is σ = 23038578719. Its totient is φ = 9375210432.

The previous prime is 14976619583. The next prime is 14976619681. The reversal of 14976619641 is 14691667941.

The square root of 14976619641 is 122379.

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

14976619641 is a `hidden beast` number, since 1 + 497 + 6 + 61 + 96 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 263900025 + 14712719616 = 16245^2 + 121296^2 .

It is not a de Polignac number, because 14976619641 - 2¹³ = 14976611449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14976619681) 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 44 ways as a sum of consecutive naturals, for example, 132536401 + ... + 132536513.

Almost surely, 2^14976619641 is an apocalyptic number.

14976619641 is the 122379-th square number.

14976619641 is the 61190-th centered octagonal number.

It is an amenable number.

14976619641 is a deficient number, since it is larger than the sum of its proper divisors (8061959078).

14976619641 is an frugal number, since it uses more digits than its factorization.

14976619641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 135 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 14976619641 in words is "fourteen billion, nine hundred seventy-six million, six hundred nineteen thousand, six hundred forty-one".