5450310468100 has 81 divisors (see below), whose sum is σ = 11910995937183. Its totient is φ = 2164781261760.

The previous prime is 5450310468077. The next prime is 5450310468203. The reversal of 5450310468100 is 18640130545.

It is a happy number.

The square root of 5450310468100 is 2334590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 659184857604 + 4791125610496 = 811902^2 + 2188864^2 .

It is a super-2 number, since 2×5450310468100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5450310468100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3665305557 + ... + 3665307043.

Almost surely, 2^{5450310468100} is an apocalyptic number.

5450310468100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5450310468100 is the 2334590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5450310468100

5450310468100 is an abundant number, since it is smaller than the sum of its proper divisors (6460685469083).

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

5450310468100 is an equidigital number, since it uses as much as digits as its factorization.

5450310468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 5450310468100 its reverse (18640130545), we get a palindrome (5468950598645).

The spelling of 5450310468100 in words is "five trillion, four hundred fifty billion, three hundred ten million, four hundred sixty-eight thousand, one hundred".