37644918948673 has 8 divisors (see below), whose sum is σ = 37666175802408. Its totient is φ = 37623663377664.

The previous prime is 37644918948671. The next prime is 37644918948731. The reversal of 37644918948673 is 37684981944673.

It can be written as a sum of positive squares in 4 ways, for example, as 194778347569 + 37450140601104 = 441337^2 + 6119652^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37644918948673 - 2¹ = 37644918948671 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37644918948593 and 37644918948602.

It is not an unprimeable number, because it can be changed into a prime (37644918948671) 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 7 ways as a sum of consecutive naturals, for example, 61774815 + ... + 62381227.

It is an arithmetic number, because the mean of its divisors is an integer number (4708271975301).

Almost surely, 2^{37644918948673} is an apocalyptic number.

It is an amenable number.

37644918948673 is a deficient number, since it is larger than the sum of its proper divisors (21256853735).

37644918948673 is a wasteful number, since it uses less digits than its factorization.

37644918948673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641363.

The product of its digits is 5267275776, while the sum is 79.

The spelling of 37644918948673 in words is "thirty-seven trillion, six hundred forty-four billion, nine hundred eighteen million, nine hundred forty-eight thousand, six hundred seventy-three".