8495457417216 has 2880 divisors, whose sum is σ = 35724729680640. Its totient is φ = 1986515435520.

The previous prime is 8495457417163. The next prime is 8495457417241. The reversal of 8495457417216 is 6127147545948.

It is a happy number.

8495457417216 is a `hidden beast` number, since 8 + 4 + 9 + 5 + 457 + 4 + 172 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (67737600) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 369367713781 + ... + 369367713803.

It is an arithmetic number, because the mean of its divisors is an integer number (12404420028).

Almost surely, 2^{8495457417216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8495457417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862364840320).

8495457417216 is an abundant number, since it is smaller than the sum of its proper divisors (27229272263424).

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

8495457417216 is an equidigital number, since it uses as much as digits as its factorization.

8495457417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 63 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 8495457417216 in words is "eight trillion, four hundred ninety-five billion, four hundred fifty-seven million, four hundred seventeen thousand, two hundred sixteen".