11976589839841 has 45 divisors (see below), whose sum is σ = 13557387429705. Its totient is φ = 10579839383520.

The previous prime is 11976589839827. The next prime is 11976589839911. The reversal of 11976589839841 is 14893898567911.

The square root of 11976589839841 is 3460721.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67740993441 + 11908848846400 = 260271^2 + 3450920^2 .

It is not a de Polignac number, because 11976589839841 - 2²⁵ = 11976556285409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11976589839241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15493647531 + ... + 15493648303.

Almost surely, 2^{11976589839841} is an apocalyptic number.

11976589839841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11976589839841 is the 3460721-st square number.

11976589839841 is the 1730361-st centered octagonal number.

It is an amenable number.

11976589839841 is a deficient number, since it is larger than the sum of its proper divisors (1580797589864).

11976589839841 is an frugal number, since it uses more digits than its factorization.

11976589839841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 821 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 79.

The spelling of 11976589839841 in words is "eleven trillion, nine hundred seventy-six billion, five hundred eighty-nine million, eight hundred thirty-nine thousand, eight hundred forty-one".