18629132288 has 162 divisors, whose sum is σ = 41783759199. Its totient is φ = 8301576192.

The previous prime is 18629132267. The next prime is 18629132297. The reversal of 18629132288 is 88223192681.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3086024704 + 15543107584 = 55552^2 + 124672^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=96512.

It is a super-2 number, since 2×18629132288² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 642383858 + ... + 642383886.

Almost surely, 2^18629132288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18629132288

18629132288 is an abundant number, since it is smaller than the sum of its proper divisors (23154626911).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18629132288 is an frugal number, since it uses more digits than its factorization.

18629132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 44 counting only the distinct ones).

The product of its digits is 663552, while the sum is 50.

Multiplying 18629132288 by its sum of digits (50), we get a square (931456614400 = 965120²).

The spelling of 18629132288 in words is "eighteen billion, six hundred twenty-nine million, one hundred thirty-two thousand, two hundred eighty-eight".