11891131515904 has 33 divisors (see below), whose sum is σ = 23770871187501. Its totient is φ = 5945510584320.

The previous prime is 11891131515877. The next prime is 11891131515919. The reversal of 11891131515904 is 40951513119811.

The square root of 11891131515904 is 3448352.

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., 4499693077504 + 7391438438400 = 2121248^2 + 2718720^2 .

It is a super-2 number, since 2×11891131515904² (a number of 27 digits) contains 22 as substring.

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 2 ways as a sum of consecutive naturals, for example, 110293384 + ... + 110401144.

Almost surely, 2^{11891131515904} is an apocalyptic number.

11891131515904 is the 3448352-nd square number.

It is an amenable number.

11891131515904 is a deficient number, since it is larger than the sum of its proper divisors (11879739671597).

11891131515904 is an frugal number, since it uses more digits than its factorization.

11891131515904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215542 (or 107763 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 49.

Multiplying 11891131515904 by its sum of digits (49), we get a square (582665444279296 = 24138464²).

The spelling of 11891131515904 in words is "eleven trillion, eight hundred ninety-one billion, one hundred thirty-one million, five hundred fifteen thousand, nine hundred four".