12198952064 has 64 divisors (see below), whose sum is σ = 26404048440. Its totient is φ = 5580374016.

The previous prime is 12198952049. The next prime is 12198952169. The reversal of 12198952064 is 46025989121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8353960000 + 3844992064 = 91400^2 + 62008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155594 + ... + 220470.

Almost surely, 2^12198952064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12198952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202024220).

12198952064 is an abundant number, since it is smaller than the sum of its proper divisors (14205096376).

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

12198952064 is a wasteful number, since it uses less digits than its factorization.

12198952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65017 (or 65005 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 12198952064 in words is "twelve billion, one hundred ninety-eight million, nine hundred fifty-two thousand, sixty-four".