305121444642 has 64 divisors (see below), whose sum is σ = 790726176000. Its totient is φ = 87177550320.

The previous prime is 305121444637. The next prime is 305121444653. The reversal of 305121444642 is 246444121503.

305121444642 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 2 + 1 + 4 + 4 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 305121444597 and 305121444606.

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 31 ways as a sum of consecutive naturals, for example, 8218209 + ... + 8255252.

It is an arithmetic number, because the mean of its divisors is an integer number (12355096500).

Almost surely, 2^305121444642 is an apocalyptic number.

305121444642 is an abundant number, since it is smaller than the sum of its proper divisors (485604731358).

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

305121444642 is a wasteful number, since it uses less digits than its factorization.

305121444642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16473493 (or 16473473 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 305121444642 in words is "three hundred five billion, one hundred twenty-one million, four hundred forty-four thousand, six hundred forty-two".