14736991976641 has 9 divisors (see below), whose sum is σ = 16198558257763. Its totient is φ = 13397227044520.

The previous prime is 14736991976569. The next prime is 14736991976647. The reversal of 14736991976641 is 14667919963741.

The square root of 14736991976641 is 3838879.

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

It can be written as a sum of positive squares in only one way, i.e., 6885003397041 + 7851988579600 = 2623929^2 + 2802140^2 .

It is not a de Polignac number, because 14736991976641 - 2⁷ = 14736991976513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14736991976647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42053175 + ... + 42402163.

Almost surely, 2^{14736991976641} is an apocalyptic number.

14736991976641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14736991976641 is the 3838879-th square number.

14736991976641 is the 1919440-th centered octagonal number.

It is an amenable number.

14736991976641 is a deficient number, since it is larger than the sum of its proper divisors (1461566281122).

14736991976641 is an frugal number, since it uses more digits than its factorization.

14736991976641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698000 (or 349000 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 73.

The spelling of 14736991976641 in words is "fourteen trillion, seven hundred thirty-six billion, nine hundred ninety-one million, nine hundred seventy-six thousand, six hundred forty-one".