8341675000920 has 256 divisors, whose sum is σ = 29444228352000. Its totient is φ = 2093381941248.

The previous prime is 8341675000873. The next prime is 8341675000949. The reversal of 8341675000920 is 290005761438.

8341675000920 is a `hidden beast` number, since 83 + 4 + 1 + 67 + 500 + 0 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254434849 + ... + 254467631.

It is an arithmetic number, because the mean of its divisors is an integer number (115016517000).

It is a 1-persistent number, because it is pandigital, but 2⋅8341675000920 = 16683350001840 is not.

Almost surely, 2^{8341675000920} 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 8341675000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722114176000).

8341675000920 is an abundant number, since it is smaller than the sum of its proper divisors (21102553351080).

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

8341675000920 is a wasteful number, since it uses less digits than its factorization.

8341675000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46679 (or 46669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 8341675000920 in words is "eight trillion, three hundred forty-one billion, six hundred seventy-five million, nine hundred twenty", and thus it is an aban number.