45788724289 has 45 divisors (see below), whose sum is σ = 58862821731. Its totient is φ = 35589652560.

The previous prime is 45788724281. The next prime is 45788724353. The reversal of 45788724289 is 98242788754.

The square root of 45788724289 is 213983.

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., 30686280625 + 15102443664 = 175175^2 + 122892^2 .

It is not a de Polignac number, because 45788724289 - 2³ = 45788724281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45788724289.

It is not an unprimeable number, because it can be changed into a prime (45788724281) 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, 115336639 + ... + 115337035.

Almost surely, 2^45788724289 is an apocalyptic number.

45788724289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45788724289 is the 213983-rd square number.

45788724289 is the 106992-nd centered octagonal number.

It is an amenable number.

45788724289 is a deficient number, since it is larger than the sum of its proper divisors (13074097442).

45788724289 is an frugal number, since it uses more digits than its factorization.

45788724289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 415 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 64.

Multiplying 45788724289 by its sum of digits (64), we get a square (2930478354496 = 1711864²).

It can be divided in two parts, 45788 and 724289, that added together give a palindrome (770077).

The spelling of 45788724289 in words is "forty-five billion, seven hundred eighty-eight million, seven hundred twenty-four thousand, two hundred eighty-nine".