12192364701648 has 160 divisors (see below), whose sum is σ = 35458280723200. Its totient is φ = 4060723622400.

The previous prime is 12192364701617. The next prime is 12192364701653. The reversal of 12192364701648 is 84610746329121.

12192364701648 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 2 + 3 + 6 + 470 + 164 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12192364701594 and 12192364701603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41880333 + ... + 42170451.

It is an arithmetic number, because the mean of its divisors is an integer number (221614254520).

Almost surely, 2^{12192364701648} is an apocalyptic number.

12192364701648 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 12192364701648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729140361600).

12192364701648 is an abundant number, since it is smaller than the sum of its proper divisors (23265916021552).

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

12192364701648 is an equidigital number, since it uses as much as digits as its factorization.

12192364701648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291349 (or 291325 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12192364701648 in words is "twelve trillion, one hundred ninety-two billion, three hundred sixty-four million, seven hundred one thousand, six hundred forty-eight".