45402624993609 has 153 divisors (see below), whose sum is σ = 74690989206183. Its totient is φ = 27586405059408.

The previous prime is 45402624993547. The next prime is 45402624993613. The reversal of 45402624993609 is 90639942620454.

The square root of 45402624993609 is 6738147.

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

45402624993609 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 26 + 249 + 9 + 360 + 9 = 666.

45402624993609 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 only one way, i.e., 6716364644025 + 38686260349584 = 2591595^2 + 6219828^2 .

It is not a de Polignac number, because 45402624993609 - 2¹⁵ = 45402624960841 is a prime.

It is a super-2 number, since 2×45402624993609² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45402624993689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 152 ways as a sum of consecutive naturals, for example, 574716772032 + ... + 574716772110.

Almost surely, 2^{45402624993609} is an apocalyptic number.

45402624993609 is the 6738147-th square number.

45402624993609 is the 3369074-th centered octagonal number.

It is an amenable number.

45402624993609 is a deficient number, since it is larger than the sum of its proper divisors (29288364212574).

45402624993609 is an frugal number, since it uses more digits than its factorization.

45402624993609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 45402624993609 in words is "forty-five trillion, four hundred two billion, six hundred twenty-four million, nine hundred ninety-three thousand, six hundred nine".