45361254884400 has 2520 divisors, whose sum is σ = 215483852890320. Its totient is φ = 9066298429440.

The previous prime is 45361254884353. The next prime is 45361254884411. The reversal of 45361254884400 is 448845216354.

45361254884400 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 12 + 548 + 84 + 4 + 0 + 0 = 666.

45361254884400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 3529228374 + ... + 3529241226.

Almost surely, 2^{45361254884400} is an apocalyptic number.

45361254884400 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 45361254884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107741926445160).

45361254884400 is an abundant number, since it is smaller than the sum of its proper divisors (170122598005920).

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

45361254884400 is a wasteful number, since it uses less digits than its factorization.

45361254884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 45361254884400 in words is "forty-five trillion, three hundred sixty-one billion, two hundred fifty-four million, eight hundred eighty-four thousand, four hundred".