45582250000 has 315 divisors, whose sum is σ = 130556160891. Its totient is φ = 15372000000.

The previous prime is 45582249983. The next prime is 45582250003. The reversal of 45582250000 is 5228554.

The square root of 45582250000 is 213500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 12090321936 + 33491928064 = 109956^2 + 183008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45582250003) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 747249970 + ... + 747250030.

Almost surely, 2^45582250000 is an apocalyptic number.

45582250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45582250000 is the 213500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45582250000

45582250000 is an abundant number, since it is smaller than the sum of its proper divisors (84973910891).

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

45582250000 is an frugal number, since it uses more digits than its factorization.

45582250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Adding to 45582250000 its reverse (5228554), we get a palindrome (45587478554).

The spelling of 45582250000 in words is "forty-five billion, five hundred eighty-two million, two hundred fifty thousand".