8901248382016 has 63 divisors (see below), whose sum is σ = 17798037524631. Its totient is φ = 4416958422144.

The previous prime is 8901248381957. The next prime is 8901248382043. The reversal of 8901248382016 is 6102838421098.

The square root of 8901248382016 is 2983496.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3317646211 + ... + 3317648893.

It is an arithmetic number, because the mean of its divisors is an integer number (282508532137).

Almost surely, 2^{8901248382016} is an apocalyptic number.

8901248382016 is the 2983496-th square number.

It is an amenable number.

8901248382016 is a deficient number, since it is larger than the sum of its proper divisors (8896789142615).

8901248382016 is an frugal number, since it uses more digits than its factorization.

8901248382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 8901248382016 in words is "eight trillion, nine hundred one billion, two hundred forty-eight million, three hundred eighty-two thousand, sixteen".