12196251648 has 384 divisors, whose sum is σ = 41906592000. Its totient is φ = 3475685376.

The previous prime is 12196251647. The next prime is 12196251659. The reversal of 12196251648 is 84615269121.

12196251648 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 625 + 16 + 4 + 8 = 666.

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

It is a super-2 number, since 2×12196251648² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12196251643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31352638 + ... + 31353026.

It is an arithmetic number, because the mean of its divisors is an integer number (109131750).

Almost surely, 2^12196251648 is an apocalyptic number.

12196251648 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 12196251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953296000).

12196251648 is an abundant number, since it is smaller than the sum of its proper divisors (29710340352).

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

12196251648 is an frugal number, since it uses more digits than its factorization.

12196251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 401 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 12196251648 in words is "twelve billion, one hundred ninety-six million, two hundred fifty-one thousand, six hundred forty-eight".