8130586248378 has 128 divisors (see below), whose sum is σ = 20132997120000. Its totient is φ = 2411019616320.

The previous prime is 8130586248313. The next prime is 8130586248403. The reversal of 8130586248378 is 8738426850318.

8130586248378 is a `hidden beast` number, since 8 + 1 + 3 + 0 + 5 + 86 + 2 + 483 + 78 = 666.

It is a super-2 number, since 2×8130586248378² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218551423 + ... + 218588621.

It is an arithmetic number, because the mean of its divisors is an integer number (157289040000).

Almost surely, 2^{8130586248378} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130586248378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066498560000).

8130586248378 is an abundant number, since it is smaller than the sum of its proper divisors (12002410871622).

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

8130586248378 is a wasteful number, since it uses less digits than its factorization.

8130586248378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45097 (or 45091 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 8130586248378 in words is "eight trillion, one hundred thirty billion, five hundred eighty-six million, two hundred forty-eight thousand, three hundred seventy-eight".