11331085693464 has 192 divisors, whose sum is σ = 31761999210240. Its totient is φ = 3647240213760.

The previous prime is 11331085693393. The next prime is 11331085693483. The reversal of 11331085693464 is 46439658013311.

11331085693464 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 10 + 8 + 569 + 3 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11331085693464.

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, 299372989 + ... + 299410835.

It is an arithmetic number, because the mean of its divisors is an integer number (165427079220).

Almost surely, 2^{11331085693464} 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 11331085693464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880999605120).

11331085693464 is an abundant number, since it is smaller than the sum of its proper divisors (20430913516776).

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

11331085693464 is a wasteful number, since it uses less digits than its factorization.

11331085693464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39150 (or 39143 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 11331085693464 in words is "eleven trillion, three hundred thirty-one billion, eighty-five million, six hundred ninety-three thousand, four hundred sixty-four".