11961581936704 has 63 divisors (see below), whose sum is σ = 24079240924861. Its totient is φ = 5895586081280.

The previous prime is 11961581936669. The next prime is 11961581936747. The reversal of 11961581936704 is 40763918516911.

The square root of 11961581936704 is 3458552.

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., 2692723466304 + 9268858470400 = 1640952^2 + 3044480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1964454492 + ... + 1964460580.

Almost surely, 2^{11961581936704} is an apocalyptic number.

11961581936704 is the 3458552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11961581936704

11961581936704 is an abundant number, since it is smaller than the sum of its proper divisors (12117658988157).

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

11961581936704 is an frugal number, since it uses more digits than its factorization.

11961581936704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The spelling of 11961581936704 in words is "eleven trillion, nine hundred sixty-one billion, five hundred eighty-one million, nine hundred thirty-six thousand, seven hundred four".