306144441360444 has 48 divisors (see below), whose sum is σ = 730405176711840. Its totient is φ = 99766401745920.

The previous prime is 306144441360431. The next prime is 306144441360623. The reversal of 306144441360444 is 444063144441603.

It is a junction number, because it is equal to n+sod(n) for n = 306144441360393 and 306144441360402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856332289 + ... + 856689720.

It is an arithmetic number, because the mean of its divisors is an integer number (15216774514830).

Almost surely, 2^{306144441360444} is an apocalyptic number.

It is an amenable number.

306144441360444 is an abundant number, since it is smaller than the sum of its proper divisors (424260735351396).

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

306144441360444 is a wasteful number, since it uses less digits than its factorization.

306144441360444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713022350 (or 1713022348 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 306144441360444 in words is "three hundred six trillion, one hundred forty-four billion, four hundred forty-one million, three hundred sixty thousand, four hundred forty-four".