8249120612352 has 336 divisors, whose sum is σ = 24242844120768. Its totient is φ = 2702266859520.

The previous prime is 8249120612311. The next prime is 8249120612353. The reversal of 8249120612352 is 2532160219428.

8249120612352 is a `hidden beast` number, since 8 + 2 + 4 + 9 + 1 + 20 + 612 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8249120612298 and 8249120612307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8249120612353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576965577 + ... + 1576970807.

It is an arithmetic number, because the mean of its divisors is an integer number (72151321788).

Almost surely, 2^{8249120612352} 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 8249120612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121422060384).

8249120612352 is an abundant number, since it is smaller than the sum of its proper divisors (15993723508416).

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

8249120612352 is a wasteful number, since it uses less digits than its factorization.

8249120612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8249120612352 in words is "eight trillion, two hundred forty-nine billion, one hundred twenty million, six hundred twelve thousand, three hundred fifty-two".