8614225152 has 288 divisors, whose sum is σ = 28185615360. Its totient is φ = 2577899520.

The previous prime is 8614225093. The next prime is 8614225171. The reversal of 8614225152 is 2515224168.

8614225152 is a `hidden beast` number, since 8 + 614 + 2 + 25 + 15 + 2 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3323377 + ... + 3325967.

It is an arithmetic number, because the mean of its divisors is an integer number (97866720).

Almost surely, 2^8614225152 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 8614225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092807680).

8614225152 is an abundant number, since it is smaller than the sum of its proper divisors (19571390208).

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

8614225152 is a wasteful number, since it uses less digits than its factorization.

8614225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2646 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 8614225152 is about 92812.8501447941. The cubic root of 8614225152 is about 2049.9286234915.

The spelling of 8614225152 in words is "eight billion, six hundred fourteen million, two hundred twenty-five thousand, one hundred fifty-two".