12051633664 has 80 divisors (see below), whose sum is σ = 27557164800. Its totient is φ = 5157955584.

The previous prime is 12051633661. The next prime is 12051633677. The reversal of 12051633664 is 46633615021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12051633661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3291867 + ... + 3295525.

It is an arithmetic number, because the mean of its divisors is an integer number (344464560).

Almost surely, 2^12051633664 is an apocalyptic number.

12051633664 is a gapful number since it is divisible by the number (14) 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 12051633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778582400).

12051633664 is an abundant number, since it is smaller than the sum of its proper divisors (15505531136).

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

12051633664 is an frugal number, since it uses more digits than its factorization.

12051633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 12051633664 in words is "twelve billion, fifty-one million, six hundred thirty-three thousand, six hundred sixty-four".