306781946641 has 9 divisors (see below), whose sum is σ = 307612235259. Its totient is φ = 305953897536.

The previous prime is 306781946621. The next prime is 306781946677. The reversal of 306781946641 is 146649187603.

The square root of 306781946641 is 553879.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100397091025 + 206384855616 = 316855^2 + 454296^2 .

It is not a de Polignac number, because 306781946641 - 2²⁹ = 306245075729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (306781946621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 372760156 + ... + 372760978.

It is an arithmetic number, because the mean of its divisors is an integer number (34179137251).

Almost surely, 2^306781946641 is an apocalyptic number.

306781946641 is the 553879-th square number.

306781946641 is the 276940-th centered octagonal number.

It is an amenable number.

306781946641 is a deficient number, since it is larger than the sum of its proper divisors (830288618).

306781946641 is an frugal number, since it uses more digits than its factorization.

306781946641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 306781946641 in words is "three hundred six billion, seven hundred eighty-one million, nine hundred forty-six thousand, six hundred forty-one".