45054307600 has 45 divisors (see below), whose sum is σ = 108253174063. Its totient is φ = 18020024960.

The previous prime is 45054307567. The next prime is 45054307603. The reversal of 45054307600 is 670345054.

It is a happy number.

The square root of 45054307600 is 212260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14560766224 + 30493541376 = 120668^2 + 174624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45054307603) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4239894 + ... + 4250506.

Almost surely, 2^45054307600 is an apocalyptic number.

45054307600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45054307600 is the 212260-th square number.

It is an amenable number.

45054307600 is an abundant number, since it is smaller than the sum of its proper divisors (63198866463).

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

45054307600 is an frugal number, since it uses more digits than its factorization.

45054307600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21244 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 45054307600 in words is "forty-five billion, fifty-four million, three hundred seven thousand, six hundred".