11546112160 has 96 divisors (see below), whose sum is σ = 30165452352. Its totient is φ = 4141025280.

The previous prime is 11546112143. The next prime is 11546112187. The reversal of 11546112160 is 6121164511.

It is a super-2 number, since 2×11546112160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83547 + ... + 173413.

It is an arithmetic number, because the mean of its divisors is an integer number (314223462).

Almost surely, 2^11546112160 is an apocalyptic number.

11546112160 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 11546112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082726176).

11546112160 is an abundant number, since it is smaller than the sum of its proper divisors (18619340192).

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

11546112160 is a wasteful number, since it uses less digits than its factorization.

11546112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89966 (or 89958 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 11546112160 its reverse (6121164511), we get a palindrome (17667276671).

The spelling of 11546112160 in words is "eleven billion, five hundred forty-six million, one hundred twelve thousand, one hundred sixty".