8936497857144 has 768 divisors, whose sum is σ = 28295645898240. Its totient is φ = 2316451737600.

The previous prime is 8936497857127. The next prime is 8936497857149. The reversal of 8936497857144 is 4417587946398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8936497857149) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 8176118262 + ... + 8176119354.

It is an arithmetic number, because the mean of its divisors is an integer number (36843288930).

Almost surely, 2^{8936497857144} 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 8936497857144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147822949120).

8936497857144 is an abundant number, since it is smaller than the sum of its proper divisors (19359148041096).

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

8936497857144 is a wasteful number, since it uses less digits than its factorization.

8936497857144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1257 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 75.

The spelling of 8936497857144 in words is "eight trillion, nine hundred thirty-six billion, four hundred ninety-seven million, eight hundred fifty-seven thousand, one hundred forty-four".