45668117401 has 9 divisors (see below), whose sum is σ = 47303601501. Its totient is φ = 44087371104.

The previous prime is 45668117359. The next prime is 45668117447. The reversal of 45668117401 is 10471186654.

The square root of 45668117401 is 213701.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11642625801 + 34025491600 = 107901^2 + 184460^2 .

It is not a de Polignac number, because 45668117401 - 2⁷ = 45668117273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45668117491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6193645 + ... + 6201013.

Almost surely, 2^45668117401 is an apocalyptic number.

45668117401 is the 213701-st square number.

45668117401 is the 106851-st centered octagonal number.

It is an amenable number.

45668117401 is a deficient number, since it is larger than the sum of its proper divisors (1635484100).

45668117401 is an frugal number, since it uses more digits than its factorization.

45668117401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 45668117401 in words is "forty-five billion, six hundred sixty-eight million, one hundred seventeen thousand, four hundred one".