12198795264 has 384 divisors, whose sum is σ = 40334112000. Its totient is φ = 3620339712.

The previous prime is 12198795239. The next prime is 12198795289. The reversal of 12198795264 is 46259789121.

It is a happy number.

12198795264 is a `hidden beast` number, since 1 + 21 + 98 + 7 + 9 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12198795239) and next prime (12198795289).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12198795264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17860267 + ... + 17860949.

It is an arithmetic number, because the mean of its divisors is an integer number (105036750).

Almost surely, 2^12198795264 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 12198795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056000).

12198795264 is an abundant number, since it is smaller than the sum of its proper divisors (28135316736).

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

12198795264 is a wasteful number, since it uses less digits than its factorization.

12198795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 724 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 12198795264 in words is "twelve billion, one hundred ninety-eight million, seven hundred ninety-five thousand, two hundred sixty-four".