11976832091536 has 45 divisors (see below), whose sum is σ = 25127806723299. Its totient is φ = 5527685599488.

The previous prime is 11976832091503. The next prime is 11976832091591. The reversal of 11976832091536 is 63519023867911.

It is a happy number.

The square root of 11976832091536 is 3460756.

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 6375847201936 + 5600984889600 = 2525044^2 + 2366640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179926036 + ... + 179992588.

Almost surely, 2^{11976832091536} is an apocalyptic number.

11976832091536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11976832091536 is the 3460756-th square number.

It is an amenable number.

11976832091536 is an abundant number, since it is smaller than the sum of its proper divisors (13150974631763).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11976832091536 is an frugal number, since it uses more digits than its factorization.

11976832091536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133140 (or 66568 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 11976832091536 in words is "eleven trillion, nine hundred seventy-six billion, eight hundred thirty-two million, ninety-one thousand, five hundred thirty-six".