126444325223664 has 300 divisors, whose sum is σ = 448122324678600. Its totient is φ = 34225531312896.

The previous prime is 126444325223641. The next prime is 126444325223701. The reversal of 126444325223664 is 466322523444621.

126444325223664 is a `hidden beast` number, since 1 + 2 + 6 + 44 + 43 + 2 + 522 + 36 + 6 + 4 = 666.

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 126444325223664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51191419 + ... + 53604570.

It is an arithmetic number, because the mean of its divisors is an integer number (1493741082262).

Almost surely, 2^{126444325223664} is an apocalyptic number.

126444325223664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126444325223664 is an abundant number, since it is smaller than the sum of its proper divisors (321677999454936).

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

126444325223664 is a wasteful number, since it uses less digits than its factorization.

126444325223664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104796042 (or 104796020 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 126444325223664 in words is "one hundred twenty-six trillion, four hundred forty-four billion, three hundred twenty-five million, two hundred twenty-three thousand, six hundred sixty-four".