45505135320000 has 560 divisors, whose sum is σ = 153121938794880. Its totient is φ = 11919573504000.

The previous prime is 45505135319999. The next prime is 45505135320023. The reversal of 45505135320000 is 2353150554.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16234438599 + ... + 16234441401.

Almost surely, 2^{45505135320000} is an apocalyptic number.

45505135320000 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 45505135320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76560969397440).

45505135320000 is an abundant number, since it is smaller than the sum of its proper divisors (107616803474880).

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

45505135320000 is a wasteful number, since it uses less digits than its factorization.

45505135320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

Adding to 45505135320000 its reverse (2353150554), we get a palindrome (45507488470554).

The spelling of 45505135320000 in words is "forty-five trillion, five hundred five billion, one hundred thirty-five million, three hundred twenty thousand".