8147105226000 has 960 divisors, whose sum is σ = 32804856354816. Its totient is φ = 1940702976000.

The previous prime is 8147105225881. The next prime is 8147105226041. The reversal of 8147105226000 is 6225017418.

8147105226000 is a `hidden beast` number, since 8 + 1 + 4 + 71 + 0 + 522 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×8147105226000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195837202 + ... + 195878798.

Almost surely, 2^{8147105226000} is an apocalyptic number.

8147105226000 is a gapful number since it is divisible by the number (80) 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 8147105226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402428177408).

8147105226000 is an abundant number, since it is smaller than the sum of its proper divisors (24657751128816).

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

8147105226000 is a wasteful number, since it uses less digits than its factorization.

8147105226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41679 (or 41651 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 8147105226000 in words is "eight trillion, one hundred forty-seven billion, one hundred five million, two hundred twenty-six thousand".