11202134330016 has 576 divisors, whose sum is σ = 38035671238656. Its totient is φ = 3060036403200.

The previous prime is 11202134329993. The next prime is 11202134330021. The reversal of 11202134330016 is 61003343120211.

It is a happy number.

11202134330016 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 2 + 1 + 343 + 300 + 16 = 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, 4443526836 + ... + 4443529356.

It is an arithmetic number, because the mean of its divisors is an integer number (66034151456).

Almost surely, 2^{11202134330016} is an apocalyptic number.

11202134330016 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 11202134330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017835619328).

11202134330016 is an abundant number, since it is smaller than the sum of its proper divisors (26833536908640).

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

11202134330016 is a wasteful number, since it uses less digits than its factorization.

11202134330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11202134330016 its reverse (61003343120211), we get a palindrome (72205477450227).

The spelling of 11202134330016 in words is "eleven trillion, two hundred two billion, one hundred thirty-four million, three hundred thirty thousand, sixteen".