45012672583200 has 720 divisors, whose sum is σ = 198638310334464. Its totient is φ = 9683396812800.

The previous prime is 45012672583181. The next prime is 45012672583273. The reversal of 45012672583200 is 238527621054.

45012672583200 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 2 + 67 + 2 + 583 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×45012672583200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4792545 + ... + 10629855.

Almost surely, 2^{45012672583200} is an apocalyptic number.

45012672583200 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 45012672583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99319155167232).

45012672583200 is an abundant number, since it is smaller than the sum of its proper divisors (153625637751264).

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

45012672583200 is a wasteful number, since it uses less digits than its factorization.

45012672583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837367 (or 5837345 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45012672583200 in words is "forty-five trillion, twelve billion, six hundred seventy-two million, five hundred eighty-three thousand, two hundred".