45273129984000 has 1792 divisors, whose sum is σ = 173321424207360. Its totient is φ = 11653034803200.

The previous prime is 45273129983969. The next prime is 45273129984007. The reversal of 45273129984000 is 48992137254.

45273129984000 is a `hidden beast` number, since 4 + 5 + 27 + 3 + 129 + 98 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45273129984007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 134341631832 + ... + 134341632168.

Almost surely, 2^{45273129984000} is an apocalyptic number.

45273129984000 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 45273129984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86660712103680).

45273129984000 is an abundant number, since it is smaller than the sum of its proper divisors (128048294223360).

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

45273129984000 is a wasteful number, since it uses less digits than its factorization.

45273129984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45273129984000 in words is "forty-five trillion, two hundred seventy-three billion, one hundred twenty-nine million, nine hundred eighty-four thousand".