3701144668057 has 2 divisors, whose sum is σ = 3701144668058. Its totient is φ = 3701144668056.

The previous prime is 3701144667977. The next prime is 3701144668073. The reversal of 3701144668057 is 7508664411073.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2932899430041 + 768245238016 = 1712571^2 + 876496^2 .

It is a cyclic number.

It is not a de Polignac number, because 3701144668057 - 2³¹ = 3698997184409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3701144667995 and 3701144668013.

It is not a weakly prime, because it can be changed into another prime (3701144668157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1850572334028 + 1850572334029.

It is an arithmetic number, because the mean of its divisors is an integer number (1850572334029).

Almost surely, 2^{3701144668057} is an apocalyptic number.

It is an amenable number.

3701144668057 is a deficient number, since it is larger than the sum of its proper divisors (1).

3701144668057 is an equidigital number, since it uses as much as digits as its factorization.

3701144668057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 3701144668057 in words is "three trillion, seven hundred one billion, one hundred forty-four million, six hundred sixty-eight thousand, fifty-seven".