8292249216 has 48 divisors (see below), whose sum is σ = 23861814210. Its totient is φ = 2764082688.

The previous prime is 8292249187. The next prime is 8292249233. The reversal of 8292249216 is 6129422928.

It can be written as a sum of positive squares in only one way, i.e., 6352727616 + 1939521600 = 79704^2 + 44040^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×8292249216³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3597915 + ... + 3600218.

Almost surely, 2^8292249216 is an apocalyptic number.

It is an amenable number.

8292249216 is an abundant number, since it is smaller than the sum of its proper divisors (15569564994).

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

8292249216 is a wasteful number, since it uses less digits than its factorization.

8292249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198153 (or 7198138 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 8292249216 is about 91061.7879025006. The cubic root of 8292249216 is about 2024.0634161782.

The spelling of 8292249216 in words is "eight billion, two hundred ninety-two million, two hundred forty-nine thousand, two hundred sixteen".