126144441621 has 24 divisors (see below), whose sum is σ = 204145310304. Its totient is φ = 74384926560.

The previous prime is 126144441611. The next prime is 126144441637.

126144441621 is a `hidden beast` number, since 1 + 2 + 614 + 4 + 4 + 4 + 16 + 21 = 666.

126144441621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 126144441621 - 2¹⁵ = 126144408853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126144441601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17215071 + ... + 17222396.

It is an arithmetic number, because the mean of its divisors is an integer number (8506054596).

Almost surely, 2^126144441621 is an apocalyptic number.

126144441621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126144441621 is a deficient number, since it is larger than the sum of its proper divisors (78000868683).

126144441621 is a wasteful number, since it uses less digits than its factorization.

126144441621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34437521 (or 34437518 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 126144 and 441621, that added together give a palindrome (567765).

The spelling of 126144441621 in words is "one hundred twenty-six billion, one hundred forty-four million, four hundred forty-one thousand, six hundred twenty-one".