45043347600 has 180 divisors, whose sum is σ = 156430000116. Its totient is φ = 12002565120.

The previous prime is 45043347593. The next prime is 45043347617. The reversal of 45043347600 is 674334054.

It is a happy number.

45043347600 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 3 + 3 + 47 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 417630096 + 44625717504 = 20436^2 + 211248^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5802922 + ... + 5810678.

Almost surely, 2^45043347600 is an apocalyptic number.

45043347600 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 45043347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78215000058).

45043347600 is an abundant number, since it is smaller than the sum of its proper divisors (111386652516).

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

45043347600 is a wasteful number, since it uses less digits than its factorization.

45043347600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 45043347600 in words is "forty-five billion, forty-three million, three hundred forty-seven thousand, six hundred".