11736564546 has 64 divisors (see below), whose sum is σ = 27251030016. Its totient is φ = 3300393600.

The previous prime is 11736564529. The next prime is 11736564547. The reversal of 11736564546 is 64546563711.

11736564546 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-2 number, since 2×11736564546² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11736564495 and 11736564504.

It is not an unprimeable number, because it can be changed into a prime (11736564547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1914366 + ... + 1920486.

It is an arithmetic number, because the mean of its divisors is an integer number (425797344).

Almost surely, 2^11736564546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11736564546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625515008).

11736564546 is an abundant number, since it is smaller than the sum of its proper divisors (15514465470).

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

11736564546 is a wasteful number, since it uses less digits than its factorization.

11736564546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847.

The product of its digits is 1814400, while the sum is 48.

The spelling of 11736564546 in words is "eleven billion, seven hundred thirty-six million, five hundred sixty-four thousand, five hundred forty-six".