45630273104000 has 768 divisors, whose sum is σ = 132213065456160. Its totient is φ = 15596126208000.

The previous prime is 45630273103927. The next prime is 45630273104027. The reversal of 45630273104000 is 40137203654.

It can be written as a sum of positive squares in 48 ways, for example, as 40946996232256 + 4683276871744 = 6398984^2 + 2164088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2804039864 + ... + 2804056136.

Almost surely, 2^{45630273104000} is an apocalyptic number.

45630273104000 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 45630273104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66106532728080).

45630273104000 is an abundant number, since it is smaller than the sum of its proper divisors (86582792352160).

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

45630273104000 is a wasteful number, since it uses less digits than its factorization.

45630273104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16406 (or 16371 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 45630273104000 in words is "forty-five trillion, six hundred thirty billion, two hundred seventy-three million, one hundred four thousand".