45535534405200 has 360 divisors, whose sum is σ = 184795271863488. Its totient is φ = 10166072555520.

The previous prime is 45535534405187. The next prime is 45535534405217. The reversal of 45535534405200 is 250443553554.

45535534405200 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 5 + 5 + 34 + 405 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19927629 + ... + 22094828.

Almost surely, 2^{45535534405200} is an apocalyptic number.

45535534405200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45535534405200 is an abundant number, since it is smaller than the sum of its proper divisors (139259737458288).

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

45535534405200 is a wasteful number, since it uses less digits than its factorization.

45535534405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42022531 (or 42022517 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 45.

Adding to 45535534405200 its reverse (250443553554), we get a palindrome (45785977958754).

The spelling of 45535534405200 in words is "forty-five trillion, five hundred thirty-five billion, five hundred thirty-four million, four hundred five thousand, two hundred".