8814149344000 has 576 divisors, whose sum is σ = 29481032835072. Its totient is φ = 2535929856000.

The previous prime is 8814149343973. The next prime is 8814149344051. The reversal of 8814149344000 is 4439414188.

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, 31894417 + ... + 32169583.

It is an arithmetic number, because the mean of its divisors is an integer number (51182348672).

Almost surely, 2^{8814149344000} is an apocalyptic number.

8814149344000 is a gapful number since it is divisible by the number (80) 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 8814149344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740516417536).

8814149344000 is an abundant number, since it is smaller than the sum of its proper divisors (20666883491072).

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

8814149344000 is a wasteful number, since it uses less digits than its factorization.

8814149344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275229 (or 275205 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 8814149344000 in words is "eight trillion, eight hundred fourteen billion, one hundred forty-nine million, three hundred forty-four thousand".