18625416401617 has 16 divisors (see below), whose sum is σ = 18735536291472. Its totient is φ = 18515574190080.

The previous prime is 18625416401561. The next prime is 18625416401629. The reversal of 18625416401617 is 71610461452681.

It can be written as a sum of positive squares in 8 ways, for example, as 158534570896 + 18466881830721 = 398164^2 + 4297311^2 .

It is a cyclic number.

It is not a de Polignac number, because 18625416401617 - 2¹⁹ = 18625415877329 is a prime.

It is a super-2 number, since 2×18625416401617² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18625416401017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474622117 + ... + 474661357.

It is an arithmetic number, because the mean of its divisors is an integer number (1170971018217).

Almost surely, 2^{18625416401617} is an apocalyptic number.

It is an amenable number.

18625416401617 is a deficient number, since it is larger than the sum of its proper divisors (110119889855).

18625416401617 is a wasteful number, since it uses less digits than its factorization.

18625416401617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42708.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 18625416401617 in words is "eighteen trillion, six hundred twenty-five billion, four hundred sixteen million, four hundred one thousand, six hundred seventeen".