306669629352 has 128 divisors (see below), whose sum is σ = 823991616000. Its totient is φ = 94820256000.

The previous prime is 306669629291. The next prime is 306669629363. The reversal of 306669629352 is 253926966603.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 306669629292 and 306669629301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6730198 + ... + 6775610.

It is an arithmetic number, because the mean of its divisors is an integer number (6437434500).

Almost surely, 2^306669629352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306669629352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411995808000).

306669629352 is an abundant number, since it is smaller than the sum of its proper divisors (517321986648).

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

306669629352 is a wasteful number, since it uses less digits than its factorization.

306669629352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45751 (or 45747 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 57.

The spelling of 306669629352 in words is "three hundred six billion, six hundred sixty-nine million, six hundred twenty-nine thousand, three hundred fifty-two".