45543837600 has 324 divisors, whose sum is σ = 166786586694. Its totient is φ = 12143623680.

The previous prime is 45543837593. The next prime is 45543837601. The reversal of 45543837600 is 673834554.

45543837600 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 3 + 8 + 37 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28494790416 + 17049047184 = 168804^2 + 130572^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×45543837600² (a number of 22 digits) contains 22 as substring.

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 (45543837601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5244462 + ... + 5253138.

Almost surely, 2^45543837600 is an apocalyptic number.

45543837600 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 45543837600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393293347).

45543837600 is an abundant number, since it is smaller than the sum of its proper divisors (121242749094).

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

45543837600 is an frugal number, since it uses more digits than its factorization.

45543837600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8721 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45543837600 in words is "forty-five billion, five hundred forty-three million, eight hundred thirty-seven thousand, six hundred".