11602111416 has 192 divisors, whose sum is σ = 34323886080. Its totient is φ = 3258178560.

The previous prime is 11602111387. The next prime is 11602111427. The reversal of 11602111416 is 61411120611.

11602111416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11602111416³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19564816 + ... + 19565408.

It is an arithmetic number, because the mean of its divisors is an integer number (178770240).

Almost surely, 2^11602111416 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 11602111416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161943040).

11602111416 is an abundant number, since it is smaller than the sum of its proper divisors (22721774664).

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

11602111416 is a wasteful number, since it uses less digits than its factorization.

11602111416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 11602111416 in words is "eleven billion, six hundred two million, one hundred eleven thousand, four hundred sixteen".