45936920241 has 9 divisors (see below), whose sum is σ = 66354258009. Its totient is φ = 30624184836.

The previous prime is 45936920233. The next prime is 45936920261. The reversal of 45936920241 is 14202963954.

The square root of 45936920241 is 214329.

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

45936920241 is a `hidden beast` number, since 45 + 9 + 369 + 2 + 0 + 241 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 45936920241 - 2³ = 45936920233 is a prime.

It is a super-2 number, since 2×45936920241² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45936920231) 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 8 ways as a sum of consecutive naturals, for example, 607266 + ... + 678708.

Almost surely, 2^45936920241 is an apocalyptic number.

45936920241 is the 214329-th square number.

45936920241 is the 107165-th centered octagonal number.

It is an amenable number.

45936920241 is a deficient number, since it is larger than the sum of its proper divisors (20417337768).

45936920241 is an frugal number, since it uses more digits than its factorization.

45936920241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142892 (or 71446 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 45936920241 in words is "forty-five billion, nine hundred thirty-six million, nine hundred twenty thousand, two hundred forty-one".