8386125487488 has 576 divisors, whose sum is σ = 30210621217920. Its totient is φ = 2218108354560.

The previous prime is 8386125487477. The next prime is 8386125487529. The reversal of 8386125487488 is 8847845216838.

8386125487488 is a `hidden beast` number, since 8 + 3 + 8 + 6 + 1 + 2 + 548 + 74 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 58464945 + ... + 58608207.

It is an arithmetic number, because the mean of its divisors is an integer number (52448995170).

Almost surely, 2^{8386125487488} 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 8386125487488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105310608960).

8386125487488 is an abundant number, since it is smaller than the sum of its proper divisors (21824495730432).

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

8386125487488 is a wasteful number, since it uses less digits than its factorization.

8386125487488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143375 (or 143353 counting only the distinct ones).

The product of its digits is 660602880, while the sum is 72.

The spelling of 8386125487488 in words is "eight trillion, three hundred eighty-six billion, one hundred twenty-five million, four hundred eighty-seven thousand, four hundred eighty-eight".