45938634889 has 27 divisors (see below), whose sum is σ = 54367283943. Its totient is φ = 38703395808.

The previous prime is 45938634887. The next prime is 45938634923. The reversal of 45938634889 is 98843683954.

The square root of 45938634889 is 214333.

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

It can be written as a sum of positive squares in only one way, i.e., 39730455625 + 6208179264 = 199325^2 + 78792^2 .

It is not a de Polignac number, because 45938634889 - 2¹ = 45938634887 is a prime.

It is a super-2 number, since 2×45938634889² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is not an unprimeable number, because it can be changed into a prime (45938634887) 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 26 ways as a sum of consecutive naturals, for example, 100521949 + ... + 100522405.

It is an arithmetic number, because the mean of its divisors is an integer number (2013603109).

Almost surely, 2^45938634889 is an apocalyptic number.

45938634889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45938634889 is the 214333-rd square number.

45938634889 is the 107167-th centered octagonal number.

It is an amenable number.

45938634889 is a deficient number, since it is larger than the sum of its proper divisors (8428649054).

45938634889 is an frugal number, since it uses more digits than its factorization.

45938634889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 67.

The spelling of 45938634889 in words is "forty-five billion, nine hundred thirty-eight million, six hundred thirty-four thousand, eight hundred eighty-nine".