4519323256900 has 27 divisors (see below), whose sum is σ = 9806977599069. Its totient is φ = 1807720799280.

The previous prime is 4519323256883. The next prime is 4519323256949. The reversal of 4519323256900 is 96523239154.

It is a happy number.

The square root of 4519323256900 is 2125870.

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

It can be written as a sum of positive squares in only one way, i.e., 1626956372484 + 2892366884416 = 1275522^2 + 1700696^2 .

It is a super-2 number, since 2×4519323256900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21152407 + ... + 21364993.

Almost surely, 2^{4519323256900} is an apocalyptic number.

4519323256900 is the 2125870-th square number.

It is an amenable number.

4519323256900 is an abundant number, since it is smaller than the sum of its proper divisors (5287654342169).

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

4519323256900 is an frugal number, since it uses more digits than its factorization.

4519323256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425188 (or 212594 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

Multiplying 4519323256900 by its sum of digits (49), we get a square (221446839588100 = 14881090²).

The spelling of 4519323256900 in words is "four trillion, five hundred nineteen billion, three hundred twenty-three million, two hundred fifty-six thousand, nine hundred".