8048191947264 has 640 divisors, whose sum is σ = 28688363827200. Its totient is φ = 2176264765440.

The previous prime is 8048191947251. The next prime is 8048191947277. The reversal of 8048191947264 is 4627491918408.

8048191947264 is a `hidden beast` number, since 8 + 0 + 481 + 9 + 1 + 94 + 7 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (8048191947251) and next prime (8048191947277).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2778111064 + ... + 2778113960.

It is an arithmetic number, because the mean of its divisors is an integer number (44825568480).

Almost surely, 2^{8048191947264} is an apocalyptic number.

8048191947264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8048191947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344181913600).

8048191947264 is an abundant number, since it is smaller than the sum of its proper divisors (20640171879936).

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

8048191947264 is a wasteful number, since it uses less digits than its factorization.

8048191947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 8048191947264 in words is "eight trillion, forty-eight billion, one hundred ninety-one million, nine hundred forty-seven thousand, two hundred sixty-four".