8142902352 has 480 divisors, whose sum is σ = 28479427200. Its totient is φ = 2200670208.

The previous prime is 8142902347. The next prime is 8142902353. The reversal of 8142902352 is 2532092418.

It is a happy number.

8142902352 is a `hidden beast` number, since 8 + 14 + 290 + 2 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142902353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121535823 + ... + 121535889.

It is an arithmetic number, because the mean of its divisors is an integer number (59332140).

Almost surely, 2^8142902352 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 8142902352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239713600).

8142902352 is an abundant number, since it is smaller than the sum of its proper divisors (20336524848).

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

8142902352 is a wasteful number, since it uses less digits than its factorization.

8142902352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8142902352 is about 90238.0316274685. The cubic root of 8142902352 is about 2011.8383181871.

The spelling of 8142902352 in words is "eight billion, one hundred forty-two million, nine hundred two thousand, three hundred fifty-two".