11935223346816 has 768 divisors, whose sum is σ = 45395831070720. Its totient is φ = 2918948659200.

The previous prime is 11935223346791. The next prime is 11935223346859. The reversal of 11935223346816 is 61864332253911.

11935223346816 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 522 + 3 + 34 + 6 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101684835 + ... + 101802141.

It is an arithmetic number, because the mean of its divisors is an integer number (59109155040).

Almost surely, 2^{11935223346816} is an apocalyptic number.

11935223346816 is a gapful number since it is divisible by the number (16) 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 11935223346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697915535360).

11935223346816 is an abundant number, since it is smaller than the sum of its proper divisors (33460607723904).

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

11935223346816 is a wasteful number, since it uses less digits than its factorization.

11935223346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117413 (or 117398 counting only the distinct ones).

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

The spelling of 11935223346816 in words is "eleven trillion, nine hundred thirty-five billion, two hundred twenty-three million, three hundred forty-six thousand, eight hundred sixteen".