8485737744096 has 288 divisors, whose sum is σ = 25326086123520. Its totient is φ = 2691861120000.

The previous prime is 8485737744059. The next prime is 8485737744103. The reversal of 8485737744096 is 6904477375848.

8485737744096 is a `hidden beast` number, since 8 + 4 + 8 + 573 + 7 + 7 + 4 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 177009346 + ... + 177057278.

It is an arithmetic number, because the mean of its divisors is an integer number (87937799040).

Almost surely, 2^{8485737744096} 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 8485737744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12663043061760).

8485737744096 is an abundant number, since it is smaller than the sum of its proper divisors (16840348379424).

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

8485737744096 is a wasteful number, since it uses less digits than its factorization.

8485737744096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48310 (or 48299 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 8485737744096 in words is "eight trillion, four hundred eighty-five billion, seven hundred thirty-seven million, seven hundred forty-four thousand, ninety-six".