45449704800 has 864 divisors, whose sum is σ = 178062040800. Its totient is φ = 11170897920.

The previous prime is 45449704789. The next prime is 45449704823. The reversal of 45449704800 is 840794454.

45449704800 is a `hidden beast` number, since 45 + 44 + 97 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×45449704800³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 857541574 + ... + 857541626.

It is an arithmetic number, because the mean of its divisors is an integer number (206090325).

Almost surely, 2^45449704800 is an apocalyptic number.

45449704800 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 45449704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89031020400).

45449704800 is an abundant number, since it is smaller than the sum of its proper divisors (132612336000).

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

45449704800 is a wasteful number, since it uses less digits than its factorization.

45449704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 45449704800 in words is "forty-five billion, four hundred forty-nine million, seven hundred four thousand, eight hundred".