45642211201 has 8 divisors (see below), whose sum is σ = 48374772264. Its totient is φ = 42914952960.

The previous prime is 45642211187. The next prime is 45642211267. The reversal of 45642211201 is 10211224654.

45642211201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3627050625 + 42015160576 = 60225^2 + 204976^2 .

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 45642211201 - 2²⁷ = 45507993473 is a prime.

It is a super-2 number, since 2×45642211201² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45642211201.

It is not an unprimeable number, because it can be changed into a prime (45642212201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1307970 + ... + 1342411.

It is an arithmetic number, because the mean of its divisors is an integer number (6046846533).

Almost surely, 2^45642211201 is an apocalyptic number.

It is an amenable number.

45642211201 is a deficient number, since it is larger than the sum of its proper divisors (2732561063).

45642211201 is a wasteful number, since it uses less digits than its factorization.

45642211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651411.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 45642211201 its reverse (10211224654), we get a palindrome (55853435855).

The spelling of 45642211201 in words is "forty-five billion, six hundred forty-two million, two hundred eleven thousand, two hundred one".