74447668201 has 9 divisors (see below), whose sum is σ = 74790573559. Its totient is φ = 74106331600.

The previous prime is 74447668199. The next prime is 74447668231. The reversal of 74447668201 is 10286674447.

The square root of 74447668201 is 272851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50310938601 + 24136729600 = 224301^2 + 155360^2 .

It is not a de Polignac number, because 74447668201 - 2¹ = 74447668199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74447668231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76670646 + ... + 76671616.

Almost surely, 2^74447668201 is an apocalyptic number.

74447668201 is the 272851-st square number.

74447668201 is the 136426-th centered octagonal number.

It is an amenable number.

74447668201 is a deficient number, since it is larger than the sum of its proper divisors (342905358).

74447668201 is an frugal number, since it uses more digits than its factorization.

74447668201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

Multiplying 74447668201 by its sum of digits (49), we get a square (3647935741849 = 1909957²).

The spelling of 74447668201 in words is "seventy-four billion, four hundred forty-seven million, six hundred sixty-eight thousand, two hundred one".