45104534112000 has 2304 divisors, whose sum is σ = 176787384883200. Its totient is φ = 10077143040000.

The previous prime is 45104534111947. The next prime is 45104534112049. The reversal of 45104534112000 is 21143540154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 167674847866 + ... + 167674848134.

It is an arithmetic number, because the mean of its divisors is an integer number (76730635800).

Almost surely, 2^{45104534112000} is an apocalyptic number.

45104534112000 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 45104534112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88393692441600).

45104534112000 is an abundant number, since it is smaller than the sum of its proper divisors (131682850771200).

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

45104534112000 is a wasteful number, since it uses less digits than its factorization.

45104534112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 45104534112000 its reverse (21143540154), we get a palindrome (45125677652154).

The spelling of 45104534112000 in words is "forty-five trillion, one hundred four billion, five hundred thirty-four million, one hundred twelve thousand".