8146625131008 has 960 divisors, whose sum is σ = 30049291008000. Its totient is φ = 2133684633600.

The previous prime is 8146625130989. The next prime is 8146625131013. The reversal of 8146625131008 is 8001315266418.

8146625131008 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 625 + 1 + 3 + 10 + 0 + 8 = 666.

It is a super-2 number, since 2×8146625131008² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2469420943 + ... + 2469424241.

It is an arithmetic number, because the mean of its divisors is an integer number (31301344800).

Almost surely, 2^{8146625131008} 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 8146625131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024645504000).

8146625131008 is an abundant number, since it is smaller than the sum of its proper divisors (21902665876992).

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

8146625131008 is a wasteful number, since it uses less digits than its factorization.

8146625131008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 8146625131008 in words is "eight trillion, one hundred forty-six billion, six hundred twenty-five million, one hundred thirty-one thousand, eight".