45537298985689 has 45 divisors (see below), whose sum is σ = 56439396589821. Its totient is φ = 36731437545600.

The previous prime is 45537298985683. The next prime is 45537298985729. The reversal of 45537298985689 is 98658989273554.

The square root of 45537298985689 is 6748133.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34600335662025 + 10936963323664 = 5882205^2 + 3307108^2 .

It is not a de Polignac number, because 45537298985689 - 2¹⁹ = 45537298461401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45537298985683) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5621190739 + ... + 5621198839.

Almost surely, 2^{45537298985689} is an apocalyptic number.

45537298985689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45537298985689 is the 6748133-rd square number.

45537298985689 is the 3374067-th centered octagonal number.

It is an amenable number.

45537298985689 is a deficient number, since it is larger than the sum of its proper divisors (10902097604132).

45537298985689 is an frugal number, since it uses more digits than its factorization.

45537298985689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 8125 counting only the distinct ones).

The product of its digits is 47029248000, while the sum is 88.

The spelling of 45537298985689 in words is "forty-five trillion, five hundred thirty-seven billion, two hundred ninety-eight million, nine hundred eighty-five thousand, six hundred eighty-nine".