45624021811200 has 1632 divisors, whose sum is σ = 192662038840320. Its totient is φ = 10369105920000.

The previous prime is 45624021811189. The next prime is 45624021811223. The reversal of 45624021811200 is 211812042654.

45624021811200 is a `hidden beast` number, since 4 + 5 + 62 + 402 + 181 + 12 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77724057307 + ... + 77724057893.

Almost surely, 2^{45624021811200} is an apocalyptic number.

45624021811200 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 45624021811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96331019420160).

45624021811200 is an abundant number, since it is smaller than the sum of its proper divisors (147038017029120).

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

45624021811200 is an equidigital number, since it uses as much as digits as its factorization.

45624021811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 45624021811200 its reverse (211812042654), we get a palindrome (45835833853854).

The spelling of 45624021811200 in words is "forty-five trillion, six hundred twenty-four billion, twenty-one million, eight hundred eleven thousand, two hundred".