45345252004000 has 192 divisors, whose sum is σ = 120043714452480. Its totient is φ = 16734464947200.

The previous prime is 45345252003973. The next prime is 45345252004097. The reversal of 45345252004000 is 40025254354.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103938321 + ... + 104373679.

It is an arithmetic number, because the mean of its divisors is an integer number (625227679440).

Almost surely, 2^{45345252004000} is an apocalyptic number.

45345252004000 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 45345252004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60021857226240).

45345252004000 is an abundant number, since it is smaller than the sum of its proper divisors (74698462448480).

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

45345252004000 is a wasteful number, since it uses less digits than its factorization.

45345252004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437400 (or 437382 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 45345252004000 its reverse (40025254354), we get a palindrome (45385277258354).

The spelling of 45345252004000 in words is "forty-five trillion, three hundred forty-five billion, two hundred fifty-two million, four thousand".