45412234426000 has 160 divisors (see below), whose sum is σ = 118263157111008. Its totient is φ = 16766219059200.

The previous prime is 45412234425947. The next prime is 45412234426001. The reversal of 45412234426000 is 62443221454.

It can be written as a sum of positive squares in 16 ways, for example, as 15244370595216 + 30167863830784 = 3904404^2 + 5492528^2 .

It is not an unprimeable number, because it can be changed into a prime (45412234426001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349817104 + ... + 349946896.

Almost surely, 2^{45412234426000} is an apocalyptic number.

45412234426000 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 45412234426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59131578555504).

45412234426000 is an abundant number, since it is smaller than the sum of its proper divisors (72850922685008).

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

45412234426000 is a wasteful number, since it uses less digits than its factorization.

45412234426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143286 (or 143270 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 45412234426000 its reverse (62443221454), we get a palindrome (45474677647454).

The spelling of 45412234426000 in words is "forty-five trillion, four hundred twelve billion, two hundred thirty-four million, four hundred twenty-six thousand".