248372656900 has 243 divisors, whose sum is σ = 592068103263. Its totient is φ = 90424252800.

The previous prime is 248372656897. The next prime is 248372656901. The reversal of 248372656900 is 9656273842.

The square root of 248372656900 is 498370.

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

248372656900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114404944644 + 133967712256 = 338238^2 + 366016^2 .

It is a super-2 number, since 2×248372656900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248372656901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4071682870 + ... + 4071682930.

Almost surely, 2^248372656900 is an apocalyptic number.

248372656900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248372656900 is the 498370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248372656900

248372656900 is an abundant number, since it is smaller than the sum of its proper divisors (343695446363).

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

248372656900 is a wasteful number, since it uses less digits than its factorization.

248372656900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 248372656900 in words is "two hundred forty-eight billion, three hundred seventy-two million, six hundred fifty-six thousand, nine hundred".