45727545600 has 891 divisors, whose sum is σ = 186610290769. Its totient is φ = 11085465600.

The previous prime is 45727545529. The next prime is 45727545649. The reversal of 45727545600 is 654572754.

The square root of 45727545600 is 213840.

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

45727545600 is a `hidden beast` number, since 4 + 572 + 75 + 4 + 5 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16461916416 + 29265629184 = 128304^2 + 171072^2 .

It is a tau number, because it is divible by the number of its divisors (891).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 4157049595 + ... + 4157049605.

Almost surely, 2^45727545600 is an apocalyptic number.

45727545600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45727545600 is the 213840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45727545600

45727545600 is an abundant number, since it is smaller than the sum of its proper divisors (140882745169).

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

45727545600 is an frugal number, since it uses more digits than its factorization.

45727545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 45727545600 in words is "forty-five billion, seven hundred twenty-seven million, five hundred forty-five thousand, six hundred".