8246153004804 has 1152 divisors, whose sum is σ = 28146858614784. Its totient is φ = 2071775232000.

The previous prime is 8246153004781. The next prime is 8246153004811. The reversal of 8246153004804 is 4084003516428.

8246153004804 is a `hidden beast` number, since 8 + 24 + 615 + 3 + 0 + 0 + 4 + 8 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8246153004804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4553369059 + ... + 4553370869.

It is an arithmetic number, because the mean of its divisors is an integer number (24433036992).

Almost surely, 2^{8246153004804} 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 8246153004804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073429307392).

8246153004804 is an abundant number, since it is smaller than the sum of its proper divisors (19900705609980).

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

8246153004804 is a wasteful number, since it uses less digits than its factorization.

8246153004804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 8246153004804 in words is "eight trillion, two hundred forty-six billion, one hundred fifty-three million, four thousand, eight hundred four".