8812248984 has 384 divisors, whose sum is σ = 31409280000. Its totient is φ = 2286567360.

The previous prime is 8812248983. The next prime is 8812249009. The reversal of 8812248984 is 4898422188.

8812248984 is a `hidden beast` number, since 8 + 81 + 2 + 2 + 489 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8812248984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8812248983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8964157 + ... + 8965139.

It is an arithmetic number, because the mean of its divisors is an integer number (81795000).

Almost surely, 2^8812248984 is an apocalyptic number.

8812248984 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 8812248984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704640000).

8812248984 is an abundant number, since it is smaller than the sum of its proper divisors (22597031016).

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

8812248984 is a wasteful number, since it uses less digits than its factorization.

8812248984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1006 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 8812248984 is about 93873.5797975128. The cubic root of 8812248984 is about 2065.5176945833.

The spelling of 8812248984 in words is "eight billion, eight hundred twelve million, two hundred forty-eight thousand, nine hundred eighty-four".