45512233200 has 180 divisors, whose sum is σ = 180503061648. Its totient is φ = 10402790400.

The previous prime is 45512233153. The next prime is 45512233219. The reversal of 45512233200 is 233221554.

It is a happy number.

45512233200 is a `hidden beast` number, since 455 + 1 + 2 + 2 + 3 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 877821 + ... + 928220.

Almost surely, 2^45512233200 is an apocalyptic number.

45512233200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45512233200 is an abundant number, since it is smaller than the sum of its proper divisors (134990828448).

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

45512233200 is a wasteful number, since it uses less digits than its factorization.

45512233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806072 (or 1806058 counting only the distinct ones).

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

Adding to 45512233200 its reverse (233221554), we get a palindrome (45745454754).

The spelling of 45512233200 in words is "forty-five billion, five hundred twelve million, two hundred thirty-three thousand, two hundred".