8068638144 has 112 divisors (see below), whose sum is σ = 24917326848. Its totient is φ = 2256258048.

The previous prime is 8068638113. The next prime is 8068638169. The reversal of 8068638144 is 4418368608.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8068638093 and 8068638102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699 + ... + 127034.

Almost surely, 2^8068638144 is an apocalyptic number.

8068638144 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 8068638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458663424).

8068638144 is an abundant number, since it is smaller than the sum of its proper divisors (16848688704).

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

8068638144 is a wasteful number, since it uses less digits than its factorization.

8068638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127802 (or 127792 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 8068638144 is about 89825.5984895175. The cubic root of 8068638144 is about 2005.7035645473.

The spelling of 8068638144 in words is "eight billion, sixty-eight million, six hundred thirty-eight thousand, one hundred forty-four".