12353164041600 has 144 divisors (see below), whose sum is σ = 44078920336620. Its totient is φ = 3294177070080.

The previous prime is 12353164041587. The next prime is 12353164041601. The reversal of 12353164041600 is 614046135321.

12353164041600 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 3 + 1 + 6 + 4 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353164041601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214435854 + ... + 214493453.

Almost surely, 2^{12353164041600} is an apocalyptic number.

12353164041600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12353164041600 is an abundant number, since it is smaller than the sum of its proper divisors (31725756295020).

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

12353164041600 is a wasteful number, since it uses less digits than its factorization.

12353164041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428929337 (or 428929317 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12353164041600 in words is "twelve trillion, three hundred fifty-three billion, one hundred sixty-four million, forty-one thousand, six hundred".