11831034249216 has 960 divisors, whose sum is σ = 42870443616000. Its totient is φ = 3060818509824.

The previous prime is 11831034249169. The next prime is 11831034249217. The reversal of 11831034249216 is 61294243013811.

11831034249216 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 1 + 0 + 3 + 424 + 9 + 216 = 666.

It is a super-2 number, since 2×11831034249216² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11831034249217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25334120215 + ... + 25334120681.

It is an arithmetic number, because the mean of its divisors is an integer number (44656712100).

Almost surely, 2^{11831034249216} is an apocalyptic number.

11831034249216 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 11831034249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21435221808000).

11831034249216 is an abundant number, since it is smaller than the sum of its proper divisors (31039409366784).

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

11831034249216 is an frugal number, since it uses more digits than its factorization.

11831034249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11831034249216 in words is "eleven trillion, eight hundred thirty-one billion, thirty-four million, two hundred forty-nine thousand, two hundred sixteen".