11781919494144 has 416 divisors, whose sum is σ = 35557248950400. Its totient is φ = 3902728863744.

The previous prime is 11781919494139. The next prime is 11781919494151. The reversal of 11781919494144 is 44149491918711.

11781919494144 is a `hidden beast` number, since 1 + 17 + 8 + 1 + 91 + 9 + 494 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1460142142 + ... + 1460150210.

Almost surely, 2^{11781919494144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11781919494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778624475200).

11781919494144 is an abundant number, since it is smaller than the sum of its proper divisors (23775329456256).

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

11781919494144 is an frugal number, since it uses more digits than its factorization.

11781919494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8237 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The spelling of 11781919494144 in words is "eleven trillion, seven hundred eighty-one billion, nine hundred nineteen million, four hundred ninety-four thousand, one hundred forty-four".