11416633302000 has 160 divisors (see below), whose sum is σ = 36863091682560. Its totient is φ = 3039814713600.

The previous prime is 11416633301999. The next prime is 11416633302001. The reversal of 11416633302000 is 20333661411.

11416633302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11416633301999) and next prime (11416633302001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416633302001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2510319 + ... + 5397681.

It is an arithmetic number, because the mean of its divisors is an integer number (230394323016).

Almost surely, 2^{11416633302000} is an apocalyptic number.

11416633302000 is a gapful number since it is divisible by the number (10) 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 11416633302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431545841280).

11416633302000 is an abundant number, since it is smaller than the sum of its proper divisors (25446458380560).

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

11416633302000 is a wasteful number, since it uses less digits than its factorization.

11416633302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888048 (or 2888032 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 11416633302000 its reverse (20333661411), we get a palindrome (11436966963411).

The spelling of 11416633302000 in words is "eleven trillion, four hundred sixteen billion, six hundred thirty-three million, three hundred two thousand".