45524340000 has 180 divisors, whose sum is σ = 161773658046. Its totient is φ = 12139776000.

The previous prime is 45524339999. The next prime is 45524340047. The reversal of 45524340000 is 4342554.

It can be written as a sum of positive squares in 5 ways, for example, as 221771664 + 45302568336 = 14892^2 + 212844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 53544 + ... + 306456.

Almost surely, 2^45524340000 is an apocalyptic number.

45524340000 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 45524340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80886829023).

45524340000 is an abundant number, since it is smaller than the sum of its proper divisors (116249318046).

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

45524340000 is a wasteful number, since it uses less digits than its factorization.

45524340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252949 (or 252923 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 45524340000 its reverse (4342554), we get a palindrome (45528682554).

The spelling of 45524340000 in words is "forty-five billion, five hundred twenty-four million, three hundred forty thousand".