11544204672 has 1024 divisors, whose sum is σ = 47377612800. Its totient is φ = 2670796800.

The previous prime is 11544204653. The next prime is 11544204673. The reversal of 11544204672 is 27640244511.

11544204672 is a `hidden beast` number, since 1 + 1 + 544 + 2 + 0 + 46 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11544204673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162594397 + ... + 162594467.

It is an arithmetic number, because the mean of its divisors is an integer number (46267200).

Almost surely, 2^11544204672 is an apocalyptic number.

11544204672 is a gapful number since it is divisible by the number (12) 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 11544204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688806400).

11544204672 is an abundant number, since it is smaller than the sum of its proper divisors (35833408128).

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

11544204672 is a wasteful number, since it uses less digits than its factorization.

11544204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 11544204672 in words is "eleven billion, five hundred forty-four million, two hundred four thousand, six hundred seventy-two".