8119048000 has 112 divisors (see below), whose sum is σ = 22979384064. Its totient is φ = 2783654400.

The previous prime is 8119047991. The next prime is 8119048009. The reversal of 8119048000 is 8409118.

It is an interprime number because it is at equal distance from previous prime (8119047991) and next prime (8119048009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8119048009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16492 + ... + 128491.

It is an arithmetic number, because the mean of its divisors is an integer number (205173072).

Almost surely, 2^8119048000 is an apocalyptic number.

8119048000 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 8119048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489692032).

8119048000 is an abundant number, since it is smaller than the sum of its proper divisors (14860336064).

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

8119048000 is a wasteful number, since it uses less digits than its factorization.

8119048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145017 (or 144997 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 8119048000 is about 90105.7600822500. The cubic root of 8119048000 is about 2009.8718596891.

The spelling of 8119048000 in words is "eight billion, one hundred nineteen million, forty-eight thousand".