218957601641 has 2 divisors, whose sum is σ = 218957601642. Its totient is φ = 218957601640.

The previous prime is 218957601637. The next prime is 218957601713. The reversal of 218957601641 is 146106759812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151134337600 + 67823264041 = 388760^2 + 260429^2 .

It is a cyclic number.

It is not a de Polignac number, because 218957601641 - 2² = 218957601637 is a prime.

It is a super-3 number, since 3×218957601641³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218957601641.

It is not a weakly prime, because it can be changed into another prime (218957601631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109478800820 + 109478800821.

It is an arithmetic number, because the mean of its divisors is an integer number (109478800821).

Almost surely, 2^218957601641 is an apocalyptic number.

It is an amenable number.

218957601641 is a deficient number, since it is larger than the sum of its proper divisors (1).

218957601641 is an equidigital number, since it uses as much as digits as its factorization.

218957601641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 218957601641 in words is "two hundred eighteen billion, nine hundred fifty-seven million, six hundred one thousand, six hundred forty-one".