8144246880 has 576 divisors, whose sum is σ = 35380800000. Its totient is φ = 1691182080.

The previous prime is 8144246863. The next prime is 8144246921. The reversal of 8144246880 is 886424418.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5432371 + ... + 5433869.

It is an arithmetic number, because the mean of its divisors is an integer number (61425000).

Almost surely, 2^8144246880 is an apocalyptic number.

8144246880 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 8144246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400000).

8144246880 is an abundant number, since it is smaller than the sum of its proper divisors (27236553120).

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

8144246880 is a wasteful number, since it uses less digits than its factorization.

8144246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 8144246880 is about 90245.4812165130. The cubic root of 8144246880 is about 2011.9490413653.

The spelling of 8144246880 in words is "eight billion, one hundred forty-four million, two hundred forty-six thousand, eight hundred eighty".