8216249600 has 432 divisors, whose sum is σ = 23967559728. Its totient is φ = 2760376320.

The previous prime is 8216249593. The next prime is 8216249603. The reversal of 8216249600 is 69426128.

It can be written as a sum of positive squares in 24 ways, for example, as 4669808896 + 3546440704 = 68336^2 + 59552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216249603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52332722 + ... + 52332878.

Almost surely, 2^8216249600 is an apocalyptic number.

8216249600 is a gapful number since it is divisible by the number (80) 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 8216249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983779864).

8216249600 is an abundant number, since it is smaller than the sum of its proper divisors (15751310128).

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

8216249600 is a wasteful number, since it uses less digits than its factorization.

8216249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 8216249600 is about 90643.5303813791. The cubic root of 8216249600 is about 2017.8608207280.

The spelling of 8216249600 in words is "eight billion, two hundred sixteen million, two hundred forty-nine thousand, six hundred".