8314292952 has 480 divisors, whose sum is σ = 29214036720. Its totient is φ = 2194698240.

The previous prime is 8314292947. The next prime is 8314292957. The reversal of 8314292952 is 2592924138.

It is an interprime number because it is at equal distance from previous prime (8314292947) and next prime (8314292957).

It is a junction number, because it is equal to n+sod(n) for n = 8314292898 and 8314292907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8314292957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39404127 + ... + 39404337.

Almost surely, 2^8314292952 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 8314292952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607018360).

8314292952 is an abundant number, since it is smaller than the sum of its proper divisors (20899743768).

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

8314292952 is a wasteful number, since it uses less digits than its factorization.

8314292952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 8314292952 is about 91182.7448150142. The cubic root of 8314292952 is about 2025.8553884153.

The spelling of 8314292952 in words is "eight billion, three hundred fourteen million, two hundred ninety-two thousand, nine hundred fifty-two".