428945165001 has 10 divisors (see below), whose sum is σ = 640769937962. Its totient is φ = 285963443280.

The previous prime is 428945164957. The next prime is 428945165029. The reversal of 428945165001 is 100561549824.

428945165001 is a `hidden beast` number, since 4 + 2 + 8 + 94 + 51 + 6 + 500 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426508261776 + 2436903225 = 653076^2 + 49365^2 .

It is not a de Polignac number, because 428945165001 - 2¹⁵ = 428945132233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428945165801) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2647809580 + ... + 2647809741.

Almost surely, 2^428945165001 is an apocalyptic number.

It is an amenable number.

428945165001 is a deficient number, since it is larger than the sum of its proper divisors (211824772961).

428945165001 is an equidigital number, since it uses as much as digits as its factorization.

428945165001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295619333 (or 5295619324 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 428945165001 in words is "four hundred twenty-eight billion, nine hundred forty-five million, one hundred sixty-five thousand, one".