8208247920016 has 45 divisors (see below), whose sum is σ = 16282907391681. Its totient is φ = 4008438556416.

The previous prime is 8208247920011. The next prime is 8208247920029. The reversal of 8208247920016 is 6100297428028.

The square root of 8208247920016 is 2865004.

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., 8176740250000 + 31507670016 = 2859500^2 + 177504^2 .

It is a super-3 number, since 3×8208247920016³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8208247920011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 492772360 + ... + 492789016.

Almost surely, 2^{8208247920016} is an apocalyptic number.

8208247920016 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8208247920016 is the 2865004-th square number.

It is an amenable number.

8208247920016 is a deficient number, since it is larger than the sum of its proper divisors (8074659471665).

8208247920016 is an frugal number, since it uses more digits than its factorization.

8208247920016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33408 (or 16702 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 8208247920016 by its sum of digits (49), we get a square (402204148080784 = 20055028²).

The spelling of 8208247920016 in words is "eight trillion, two hundred eight billion, two hundred forty-seven million, nine hundred twenty thousand, sixteen".