8536945892832 has 576 divisors, whose sum is σ = 31137934464000. Its totient is φ = 2261577314304.

The previous prime is 8536945892779. The next prime is 8536945892887. The reversal of 8536945892832 is 2382985496358.

8536945892832 is a `hidden beast` number, since 8 + 5 + 3 + 6 + 9 + 4 + 589 + 2 + 8 + 32 = 666.

It is a super-3 number, since 3×8536945892832³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37693144 + ... + 37918952.

It is an arithmetic number, because the mean of its divisors is an integer number (54058914000).

Almost surely, 2^{8536945892832} 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 8536945892832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568967232000).

8536945892832 is an abundant number, since it is smaller than the sum of its proper divisors (22600988571168).

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

8536945892832 is a wasteful number, since it uses less digits than its factorization.

8536945892832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225908 (or 225887 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 8536945892832 in words is "eight trillion, five hundred thirty-six billion, nine hundred forty-five million, eight hundred ninety-two thousand, eight hundred thirty-two".