45090045000000 has 4536 divisors, whose sum is σ = 223678164980088. Its totient is φ = 8648640000000.

The previous prime is 45090044999969. The next prime is 45090045000001. The reversal of 45090045000000 is 54009054.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 3707996979456 + 41382048020544 = 1925616^2 + 6432888^2 .

It is a super-2 number, since 2×45090045000000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45090045000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 3468464999994 + ... + 3468465000006.

Almost surely, 2^{45090045000000} is an apocalyptic number.

45090045000000 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 45090045000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111839082490044).

45090045000000 is an abundant number, since it is smaller than the sum of its proper divisors (178588119980088).

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

45090045000000 is an equidigital number, since it uses as much as digits as its factorization.

45090045000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 45090045000000 its reverse (54009054), we get a palindrome (45090099009054).

The spelling of 45090045000000 in words is "forty-five trillion, ninety billion, forty-five million", and thus it is an aban number and an uban number.