11215249539168 has 96 divisors (see below), whose sum is σ = 29764331041536. Its totient is φ = 3697329397248.

The previous prime is 11215249539157. The next prime is 11215249539181. The reversal of 11215249539168 is 86193594251211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11215249539168² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6909771 + ... + 8377077.

It is an arithmetic number, because the mean of its divisors is an integer number (310045115016).

Almost surely, 2^{11215249539168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11215249539168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882165520768).

11215249539168 is an abundant number, since it is smaller than the sum of its proper divisors (18549081502368).

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

11215249539168 is a wasteful number, since it uses less digits than its factorization.

11215249539168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468196 (or 1468188 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 57.

The spelling of 11215249539168 in words is "eleven trillion, two hundred fifteen billion, two hundred forty-nine million, five hundred thirty-nine thousand, one hundred sixty-eight".