8302465845216 has 288 divisors, whose sum is σ = 24790478993280. Its totient is φ = 2733081232896.

The previous prime is 8302465845211. The next prime is 8302465845221. The reversal of 8302465845216 is 6125485642038.

8302465845216 is a `hidden beast` number, since 8 + 3 + 0 + 2 + 4 + 6 + 584 + 52 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8302465845211) and next prime (8302465845221).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8302465845216² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8302465845211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 260192335 + ... + 260224241.

It is an arithmetic number, because the mean of its divisors is an integer number (86078052060).

Almost surely, 2^{8302465845216} 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 8302465845216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395239496640).

8302465845216 is an abundant number, since it is smaller than the sum of its proper divisors (16488013148064).

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

8302465845216 is a wasteful number, since it uses less digits than its factorization.

8302465845216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32348 (or 32328 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 8302465845216 in words is "eight trillion, three hundred two billion, four hundred sixty-five million, eight hundred forty-five thousand, two hundred sixteen".