45524212000 has 96 divisors (see below), whose sum is σ = 113110648560. Its totient is φ = 18004940800.

The previous prime is 45524211947. The next prime is 45524212001. The reversal of 45524212000 is 21242554.

It can be written as a sum of positive squares in 8 ways, for example, as 4650694416 + 40873517584 = 68196^2 + 202172^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45524212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292062 + ... + 419938.

Almost surely, 2^45524212000 is an apocalyptic number.

45524212000 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 45524212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56555324280).

45524212000 is an abundant number, since it is smaller than the sum of its proper divisors (67586436560).

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

45524212000 is a wasteful number, since it uses less digits than its factorization.

45524212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127991 (or 127973 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 45524212000 its reverse (21242554), we get a palindrome (45545454554).

The spelling of 45524212000 in words is "forty-five billion, five hundred twenty-four million, two hundred twelve thousand".