45184673491200 has 1296 divisors, whose sum is σ = 169886065929216. Its totient is φ = 11880782438400.

The previous prime is 45184673491193. The next prime is 45184673491213. The reversal of 45184673491200 is 219437648154.

45184673491200 is a `hidden beast` number, since 4 + 5 + 1 + 84 + 6 + 73 + 491 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

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, 49817721147 + ... + 49817722053.

It is a 1-persistent number, because it is pandigital, but 2⋅45184673491200 = 90369346982400 is not.

Almost surely, 2^{45184673491200} is an apocalyptic number.

45184673491200 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 45184673491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84943032964608).

45184673491200 is an abundant number, since it is smaller than the sum of its proper divisors (124701392438016).

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

45184673491200 is a wasteful number, since it uses less digits than its factorization.

45184673491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45184673491200 in words is "forty-five trillion, one hundred eighty-four billion, six hundred seventy-three million, four hundred ninety-one thousand, two hundred".