306144431566420 has 48 divisors (see below), whose sum is σ = 660784757850000. Its totient is φ = 119096894315520.

The previous prime is 306144431566411. The next prime is 306144431566433. The reversal of 306144431566420 is 24665134441603.

It can be written as a sum of positive squares in 8 ways, for example, as 29917771241796 + 276226660324624 = 5469714^2 + 16620068^2 .

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, 1409655795 + ... + 1409872954.

It is an arithmetic number, because the mean of its divisors is an integer number (13766349121875).

Almost surely, 2^{306144431566420} is an apocalyptic number.

It is an amenable number.

306144431566420 is an abundant number, since it is smaller than the sum of its proper divisors (354640326283580).

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

306144431566420 is a wasteful number, since it uses less digits than its factorization.

306144431566420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819528908 (or 2819528906 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 306144431566420 in words is "three hundred six trillion, one hundred forty-four billion, four hundred thirty-one million, five hundred sixty-six thousand, four hundred twenty".