8461313024 has 44 divisors (see below), whose sum is σ = 17047809024. Its totient is φ = 4197279744.

The previous prime is 8461313023. The next prime is 8461313027. The reversal of 8461313024 is 4203131648.

It is a super-3 number, since 3×8461313024³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is not an unprimeable number, because it can be changed into a prime (8461313023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97517 + ... + 162579.

Almost surely, 2^8461313024 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 8461313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523904512).

8461313024 is an abundant number, since it is smaller than the sum of its proper divisors (8586496000).

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

8461313024 is a wasteful number, since it uses less digits than its factorization.

8461313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65210 (or 65192 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 8461313024 is about 91985.3957104061. The cubic root of 8461313024 is about 2037.7266280792.

The spelling of 8461313024 in words is "eight billion, four hundred sixty-one million, three hundred thirteen thousand, twenty-four".