45632205000 has 540 divisors, whose sum is σ = 166123842885. Its totient is φ = 11310624000.

The previous prime is 45632204951. The next prime is 45632205007. The reversal of 45632205000 is 50223654.

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.

45632205000 is a `hidden beast` number, since 4 + 5 + 632 + 20 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 137874564 + 45494330436 = 11742^2 + 213294^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=151050.

It is not an unprimeable number, because it can be changed into a prime (45632205007) 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 134 ways as a sum of consecutive naturals, for example, 860984974 + ... + 860985026.

Almost surely, 2^45632205000 is an apocalyptic number.

45632205000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45632205000

45632205000 is an abundant number, since it is smaller than the sum of its proper divisors (120491637885).

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

45632205000 is a wasteful number, since it uses less digits than its factorization.

45632205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Multiplying 45632205000 by its product of nonzero digits (7200), we get a square (328551876000000 = 18126000²).

Adding to 45632205000 its reverse (50223654), we get a palindrome (45682428654).

The spelling of 45632205000 in words is "forty-five billion, six hundred thirty-two million, two hundred five thousand".