45565106314200 has 192 divisors, whose sum is σ = 154099041494400. Its totient is φ = 11045646489600.

The previous prime is 45565106314193. The next prime is 45565106314201. The reversal of 45565106314200 is 241360156554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45565106314201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184366311 + ... + 184613289.

It is an arithmetic number, because the mean of its divisors is an integer number (802599174450).

Almost surely, 2^{45565106314200} is an apocalyptic number.

45565106314200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45565106314200 is an abundant number, since it is smaller than the sum of its proper divisors (108533935180200).

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

45565106314200 is a wasteful number, since it uses less digits than its factorization.

45565106314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274962 (or 274953 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 45565106314200 in words is "forty-five trillion, five hundred sixty-five billion, one hundred six million, three hundred fourteen thousand, two hundred".