428657639492601 has 12 divisors (see below), whose sum is σ = 619323421859428. Its totient is φ = 285701940003744.

The previous prime is 428657639492597. The next prime is 428657639492657. The reversal of 428657639492601 is 106294936756824.

428657639492601 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 5 + 7 + 6 + 3 + 9 + 4 + 9 + 2 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118298774322576 + 310358865170025 = 10876524^2 + 17617005^2 .

It is not a de Polignac number, because 428657639492601 - 2² = 428657639492597 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 428657639492601.

It is not an unprimeable number, because it can be changed into a prime (428657639492701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5818265950 + ... + 5818339623.

It is a 1-persistent number, because it is pandigital, but 2⋅428657639492601 = 857315278985202 is not.

Almost surely, 2^{428657639492601} is an apocalyptic number.

It is an amenable number.

428657639492601 is a deficient number, since it is larger than the sum of its proper divisors (190665782366827).

428657639492601 is a wasteful number, since it uses less digits than its factorization.

428657639492601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636609672 (or 11636609669 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 428657639492601 in words is "four hundred twenty-eight trillion, six hundred fifty-seven billion, six hundred thirty-nine million, four hundred ninety-two thousand, six hundred one".