6123626444401 has 8 divisors (see below), whose sum is σ = 6148374206184. Its totient is φ = 6098904860160.

The previous prime is 6123626444393. The next prime is 6123626444477. The reversal of 6123626444401 is 1044446263216.

It can be written as a sum of positive squares in 4 ways, for example, as 605595240000 + 5518031204401 = 778200^2 + 2349049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6123626444401 - 2³ = 6123626444393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6123626444491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6075520 + ... + 7011361.

It is an arithmetic number, because the mean of its divisors is an integer number (768546775773).

Almost surely, 2^{6123626444401} is an apocalyptic number.

It is an amenable number.

6123626444401 is a deficient number, since it is larger than the sum of its proper divisors (24747761783).

6123626444401 is a wasteful number, since it uses less digits than its factorization.

6123626444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13088771.

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 6123626444401 in words is "six trillion, one hundred twenty-three billion, six hundred twenty-six million, four hundred forty-four thousand, four hundred one".