8561146849920 has 512 divisors, whose sum is σ = 35306103744000. Its totient is φ = 1919910739968.

The previous prime is 8561146849919. The next prime is 8561146849921. The reversal of 8561146849920 is 299486411658.

8561146849920 is a `hidden beast` number, since 8 + 5 + 6 + 114 + 6 + 8 + 499 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8561146849919) and next prime (8561146849921).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8561146849921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5743176 + ... + 7078584.

It is an arithmetic number, because the mean of its divisors is an integer number (68957233875).

Almost surely, 2^{8561146849920} is an apocalyptic number.

8561146849920 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 8561146849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17653051872000).

8561146849920 is an abundant number, since it is smaller than the sum of its proper divisors (26744956894080).

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

8561146849920 is a wasteful number, since it uses less digits than its factorization.

8561146849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335497 (or 1335479 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 8561146849920 in words is "eight trillion, five hundred sixty-one billion, one hundred forty-six million, eight hundred forty-nine thousand, nine hundred twenty".