8315134464 has 640 divisors, whose sum is σ = 29918085120. Its totient is φ = 1990656000.

The previous prime is 8315134439. The next prime is 8315134511. The reversal of 8315134464 is 4644315138.

It is a happy number.

It is a super-2 number, since 2×8315134464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (138240) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 82328014 + ... + 82328114.

It is an arithmetic number, because the mean of its divisors is an integer number (46747008).

Almost surely, 2^8315134464 is an apocalyptic number.

8315134464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8315134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959042560).

8315134464 is an abundant number, since it is smaller than the sum of its proper divisors (21602950656).

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

8315134464 is a wasteful number, since it uses less digits than its factorization.

8315134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 8315134464 is about 91187.3591239488. The cubic root of 8315134464 is about 2025.9237335377.

The spelling of 8315134464 in words is "eight billion, three hundred fifteen million, one hundred thirty-four thousand, four hundred sixty-four".