8646591101952 has 176 divisors, whose sum is σ = 24297831046400. Its totient is φ = 2726163578880.

The previous prime is 8646591101927. The next prime is 8646591101987. The reversal of 8646591101952 is 2591011956468.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 8646591101892 and 8646591101901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36712824 + ... + 36947592.

Almost surely, 2^{8646591101952} 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 8646591101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148915523200).

8646591101952 is an abundant number, since it is smaller than the sum of its proper divisors (15651239944448).

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

8646591101952 is a wasteful number, since it uses less digits than its factorization.

8646591101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235442 (or 235424 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 8646591101952 in words is "eight trillion, six hundred forty-six billion, five hundred ninety-one million, one hundred one thousand, nine hundred fifty-two".