1628291312305 has 24 divisors (see below), whose sum is σ = 2304975320640. Its totient is φ = 1100816650080.

The previous prime is 1628291312299. The next prime is 1628291312309. The reversal of 1628291312305 is 5032131928261.

It is a happy number.

It is not a de Polignac number, because 1628291312305 - 2⁷ = 1628291312177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1628291312309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46786035 + ... + 46820824.

It is an arithmetic number, because the mean of its divisors is an integer number (96040638360).

Almost surely, 2^{1628291312305} is an apocalyptic number.

It is an amenable number.

1628291312305 is a deficient number, since it is larger than the sum of its proper divisors (676684008335).

1628291312305 is an equidigital number, since it uses as much as digits as its factorization.

1628291312305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93606949 (or 93606942 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 1628291312305 in words is "one trillion, six hundred twenty-eight billion, two hundred ninety-one million, three hundred twelve thousand, three hundred five".