45537702244200 has 192 divisors, whose sum is σ = 158087143680000. Its totient is φ = 12047769861120.

The previous prime is 45537702244147. The next prime is 45537702244207. The reversal of 45537702244200 is 244220773554.

45537702244200 is a `hidden beast` number, since 4 + 5 + 537 + 70 + 2 + 2 + 4 + 42 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45537702244207) 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, 32514625 + ... + 33886224.

It is an arithmetic number, because the mean of its divisors is an integer number (823370540000).

Almost surely, 2^{45537702244200} is an apocalyptic number.

45537702244200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45537702244200 is an abundant number, since it is smaller than the sum of its proper divisors (112549441435800).

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

45537702244200 is a wasteful number, since it uses less digits than its factorization.

45537702244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66401001 (or 66400986 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 45537702244200 in words is "forty-five trillion, five hundred thirty-seven billion, seven hundred two million, two hundred forty-four thousand, two hundred".