12110564448 has 384 divisors, whose sum is σ = 39034275840. Its totient is φ = 3637370880.

The previous prime is 12110564447. The next prime is 12110564491. The reversal of 12110564448 is 84446501121.

12110564448 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 0 + 5 + 644 + 4 + 8 = 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 (12110564447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36587643 + ... + 36587973.

It is an arithmetic number, because the mean of its divisors is an integer number (101651760).

Almost surely, 2^12110564448 is an apocalyptic number.

12110564448 is a gapful number since it is divisible by the number (18) 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 12110564448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517137920).

12110564448 is an abundant number, since it is smaller than the sum of its proper divisors (26923711392).

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

12110564448 is a wasteful number, since it uses less digits than its factorization.

12110564448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12110564448 in words is "twelve billion, one hundred ten million, five hundred sixty-four thousand, four hundred forty-eight".