45449812800 has 1260 divisors, whose sum is σ = 206257902444. Its totient is φ = 9754214400.

The previous prime is 45449812799. The next prime is 45449812801. The reversal of 45449812800 is 821894454.

45449812800 is a `hidden beast` number, since 4 + 544 + 9 + 81 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45449812799) and next prime (45449812801).

It can be written as a sum of positive squares in 6 ways, for example, as 5414605056 + 40035207744 = 73584^2 + 200088^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45449812801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 107956590 + ... + 107957010.

Almost surely, 2^45449812800 is an apocalyptic number.

45449812800 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 45449812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103128951222).

45449812800 is an abundant number, since it is smaller than the sum of its proper divisors (160808089644).

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

45449812800 is a wasteful number, since it uses less digits than its factorization.

45449812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 45449812800 in words is "forty-five billion, four hundred forty-nine million, eight hundred twelve thousand, eight hundred".