45191589455961 has 45 divisors (see below), whose sum is σ = 73102109849901. Its totient is φ = 27809724878208.

The previous prime is 45191589455941. The next prime is 45191589456001. The reversal of 45191589455961 is 16955498519154.

It is a happy number.

The square root of 45191589455961 is 6722469.

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

45191589455961 is a `hidden beast` number, since 4 + 5 + 1 + 9 + 1 + 5 + 8 + 9 + 4 + 559 + 61 = 666.

45191589455961 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 953394063561 + 44238195392400 = 976419^2 + 6651180^2 .

It is not a de Polignac number, because 45191589455961 - 2²⁷ = 45191455238233 is a prime.

It is a super-2 number, since 2×45191589455961² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45191589455961.

It is not an unprimeable number, because it can be changed into a prime (45191589455941) 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 44 ways as a sum of consecutive naturals, for example, 786500145 + ... + 786557601.

Almost surely, 2^{45191589455961} is an apocalyptic number.

45191589455961 is the 6722469-th square number.

45191589455961 is the 3361235-th centered octagonal number.

It is an amenable number.

45191589455961 is a deficient number, since it is larger than the sum of its proper divisors (27910520393940).

45191589455961 is an frugal number, since it uses more digits than its factorization.

45191589455961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114952 (or 57473 counting only the distinct ones).

The product of its digits is 349920000, while the sum is 72.

The spelling of 45191589455961 in words is "forty-five trillion, one hundred ninety-one billion, five hundred eighty-nine million, four hundred fifty-five thousand, nine hundred sixty-one".