12045675193344 has 891 divisors, whose sum is σ = 39492922148433. Its totient is φ = 3670377504768.

The previous prime is 12045675193313. The next prime is 12045675193369. The reversal of 12045675193344 is 44339157654021.

The square root of 12045675193344 is 3470688.

It is a perfect power (a square), and thus also a powerful number.

12045675193344 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 56 + 7 + 519 + 33 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1781904614400 + 10263770578944 = 1334880^2 + 3203712^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 116948302797 + ... + 116948302899.

Almost surely, 2^{12045675193344} is an apocalyptic number.

12045675193344 is the 3470688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12045675193344

12045675193344 is an abundant number, since it is smaller than the sum of its proper divisors (27447246955089).

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

12045675193344 is an frugal number, since it uses more digits than its factorization.

12045675193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 12045675193344 in words is "twelve trillion, forty-five billion, six hundred seventy-five million, one hundred ninety-three thousand, three hundred forty-four".