305283686401 has 16 divisors (see below), whose sum is σ = 327072867840. Its totient is φ = 284421981760.

The previous prime is 305283686347. The next prime is 305283686413. The reversal of 305283686401 is 104686382503.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-305283686401 is a prime.

It is a super-2 number, since 2×305283686401² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305283686431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480546 + ... + 1674091.

It is an arithmetic number, because the mean of its divisors is an integer number (20442054240).

Almost surely, 2^305283686401 is an apocalyptic number.

It is an amenable number.

305283686401 is a deficient number, since it is larger than the sum of its proper divisors (21789181439).

305283686401 is a wasteful number, since it uses less digits than its factorization.

305283686401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154784.

The product of its (nonzero) digits is 829440, while the sum is 46.

It can be divided in two parts, 3052 and 83686401, that added together give a triangular number (83689453 = T₁₂₉₃₇).

The spelling of 305283686401 in words is "three hundred five billion, two hundred eighty-three million, six hundred eighty-six thousand, four hundred one".