11772968742976 has 105 divisors (see below), whose sum is σ = 27257141340701. Its totient is φ = 5044981595136.

The previous prime is 11772968742971. The next prime is 11772968743013. The reversal of 11772968742976 is 67924786927711.

The square root of 11772968742976 is 3431176.

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., 10269461160000 + 1503507582976 = 3204600^2 + 1226176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11772968742971) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1345016616 + ... + 1345025368.

Almost surely, 2^{11772968742976} is an apocalyptic number.

11772968742976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11772968742976 is the 3431176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772968742976

11772968742976 is an abundant number, since it is smaller than the sum of its proper divisors (15484172597725).

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

11772968742976 is an frugal number, since it uses more digits than its factorization.

11772968742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17546 (or 8762 counting only the distinct ones).

The product of its digits is 896168448, while the sum is 76.

The spelling of 11772968742976 in words is "eleven trillion, seven hundred seventy-two billion, nine hundred sixty-eight million, seven hundred forty-two thousand, nine hundred seventy-six".