11961813134544 has 240 divisors, whose sum is σ = 39475000295424. Its totient is φ = 3052996876800.

The previous prime is 11961813134521. The next prime is 11961813134561. The reversal of 11961813134544 is 44543131816911.

11961813134544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1637352 + ... + 5157959.

Almost surely, 2^{11961813134544} is an apocalyptic number.

11961813134544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11961813134544 is an abundant number, since it is smaller than the sum of its proper divisors (27513187160880).

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

11961813134544 is a wasteful number, since it uses less digits than its factorization.

11961813134544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795386 (or 6795367 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 11961813134544 in words is "eleven trillion, nine hundred sixty-one billion, eight hundred thirteen million, one hundred thirty-four thousand, five hundred forty-four".