45062583359689 has 81 divisors (see below), whose sum is σ = 54248904333351. Its totient is φ = 37322466461280.

The previous prime is 45062583359639. The next prime is 45062583359713. The reversal of 45062583359689 is 98695338526054.

The square root of 45062583359689 is 6712867.

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., 1465351407289 + 43597231952400 = 1210517^2 + 6602820^2 .

It is not a de Polignac number, because 45062583359689 - 2⁷ = 45062583359561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45062583359639) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 226445142412 + ... + 226445142610.

It is an arithmetic number, because the mean of its divisors is an integer number (669739559671).

Almost surely, 2^{45062583359689} is an apocalyptic number.

45062583359689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45062583359689 is the 6712867-th square number.

45062583359689 is the 3356434-th centered octagonal number.

It is an amenable number.

45062583359689 is a deficient number, since it is larger than the sum of its proper divisors (9186320973662).

45062583359689 is an frugal number, since it uses more digits than its factorization.

45062583359689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1679616000, while the sum is 73.

The spelling of 45062583359689 in words is "forty-five trillion, sixty-two billion, five hundred eighty-three million, three hundred fifty-nine thousand, six hundred eighty-nine".