11833311264768 has 640 divisors, whose sum is σ = 40585525611840. Its totient is φ = 3379656130560.

The previous prime is 11833311264751. The next prime is 11833311264787. The reversal of 11833311264768 is 86746211333811.

11833311264768 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 3 + 311 + 264 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4514806498 + ... + 4514809118.

Almost surely, 2^{11833311264768} is an apocalyptic number.

11833311264768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11833311264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20292762805920).

11833311264768 is an abundant number, since it is smaller than the sum of its proper divisors (28752214347072).

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

11833311264768 is an frugal number, since it uses more digits than its factorization.

11833311264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2633 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 11833311264768 in words is "eleven trillion, eight hundred thirty-three billion, three hundred eleven million, two hundred sixty-four thousand, seven hundred sixty-eight".