75202144454889 has 27 divisors (see below), whose sum is σ = 108761335375927. Its totient is φ = 50072065010016.

The previous prime is 75202144454869. The next prime is 75202144454953. The reversal of 75202144454889 is 98845444120257.

The square root of 75202144454889 is 8671917.

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

75202144454889 is a `hidden beast` number, since 7 + 5 + 2 + 0 + 2 + 1 + 4 + 4 + 4 + 548 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38626162850025 + 36575981604864 = 6214995^2 + 6047808^2 .

It is not a de Polignac number, because 75202144454889 - 2⁹ = 75202144454377 is a prime.

It is a super-2 number, since 2×75202144454889² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75202144454849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31036789732 + ... + 31036792154.

Almost surely, 2^{75202144454889} is an apocalyptic number.

75202144454889 is the 8671917-th square number.

75202144454889 is the 4335959-th centered octagonal number.

It is an amenable number.

75202144454889 is a deficient number, since it is larger than the sum of its proper divisors (33559190921038).

75202144454889 is an frugal number, since it uses more digits than its factorization.

75202144454889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 75202144454889 in words is "seventy-five trillion, two hundred two billion, one hundred forty-four million, four hundred fifty-four thousand, eight hundred eighty-nine".