4657784900641 has 2 divisors, whose sum is σ = 4657784900642. Its totient is φ = 4657784900640.

The previous prime is 4657784900633. The next prime is 4657784900651. The reversal of 4657784900641 is 1460094877564.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2947127558400 + 1710657342241 = 1716720^2 + 1307921^2 .

It is a cyclic number.

It is not a de Polignac number, because 4657784900641 - 2³ = 4657784900633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4657784900641.

It is not a weakly prime, because it can be changed into another prime (4657784900651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328892450320 + 2328892450321.

It is an arithmetic number, because the mean of its divisors is an integer number (2328892450321).

Almost surely, 2^{4657784900641} is an apocalyptic number.

It is an amenable number.

4657784900641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4657784900641 is an equidigital number, since it uses as much as digits as its factorization.

4657784900641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 4657784900641 in words is "four trillion, six hundred fifty-seven billion, seven hundred eighty-four million, nine hundred thousand, six hundred forty-one".