39668003448516 has 45 divisors (see below), whose sum is σ = 103700293038111. Its totient is φ = 13222630026648.

The previous prime is 39668003448509. The next prime is 39668003448529. The reversal of 39668003448516 is 61584430086693.

The square root of 39668003448516 is 6298254.

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

39668003448516 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 80 + 0 + 34 + 4 + 8 + 516 = 666.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 113193621 + ... + 113543523.

Almost surely, 2^{39668003448516} is an apocalyptic number.

39668003448516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39668003448516 is the 6298254-th square number.

It is an amenable number.

39668003448516 is an abundant number, since it is smaller than the sum of its proper divisors (64032289589595).

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

39668003448516 is an frugal number, since it uses more digits than its factorization.

39668003448516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699822 (or 349908 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 39668003448516 in words is "thirty-nine trillion, six hundred sixty-eight billion, three million, four hundred forty-eight thousand, five hundred sixteen".