45912902112000 has 2592 divisors, whose sum is σ = 215251352289792. Its totient is φ = 9538974720000.

The previous prime is 45912902111977. The next prime is 45912902112001. The reversal of 45912902112000 is 21120921954.

45912902112000 is a `hidden beast` number, since 4 + 591 + 29 + 0 + 21 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is not an unprimeable number, because it can be changed into a prime (45912902112001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6586268515 + ... + 6586275485.

Almost surely, 2^{45912902112000} is an apocalyptic number.

45912902112000 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 45912902112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107625676144896).

45912902112000 is an abundant number, since it is smaller than the sum of its proper divisors (169338450177792).

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

45912902112000 is an equidigital number, since it uses as much as digits as its factorization.

45912902112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 45912902112000 in words is "forty-five trillion, nine hundred twelve billion, nine hundred two million, one hundred twelve thousand".