8479302225408 has 360 divisors, whose sum is σ = 28810285351848. Its totient is φ = 2393463840768.

The previous prime is 8479302225391. The next prime is 8479302225421. The reversal of 8479302225408 is 8045222039748.

8479302225408 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 3 + 0 + 2 + 225 + 408 = 666.

It is a super-2 number, since 2×8479302225408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18514510 + ... + 18966962.

Almost surely, 2^{8479302225408} 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 8479302225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405142675924).

8479302225408 is an abundant number, since it is smaller than the sum of its proper divisors (20330983126440).

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

8479302225408 is a wasteful number, since it uses less digits than its factorization.

8479302225408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452574 (or 452548 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8479302225408 in words is "eight trillion, four hundred seventy-nine billion, three hundred two million, two hundred twenty-five thousand, four hundred eight".