11546634060 has 144 divisors (see below), whose sum is σ = 38431096704. Its totient is φ = 2788591104.

The previous prime is 11546634053. The next prime is 11546634083. The reversal of 11546634060 is 6043664511.

It is a happy number.

11546634060 is a `hidden beast` number, since 1 + 15 + 4 + 6 + 634 + 0 + 6 + 0 = 666.

11546634060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 77469 + ... + 170571.

It is an arithmetic number, because the mean of its divisors is an integer number (266882616).

Almost surely, 2^11546634060 is an apocalyptic number.

11546634060 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 11546634060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215548352).

11546634060 is an abundant number, since it is smaller than the sum of its proper divisors (26884462644).

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

11546634060 is a wasteful number, since it uses less digits than its factorization.

11546634060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93184 (or 93179 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11546634060 in words is "eleven billion, five hundred forty-six million, six hundred thirty-four thousand, sixty".