8148314880 has 864 divisors, whose sum is σ = 32784321024. Its totient is φ = 1926955008.

The previous prime is 8148314861. The next prime is 8148314891. The reversal of 8148314880 is 884138418.

8148314880 is a `hidden beast` number, since 81 + 483 + 14 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121616607 + ... + 121616673.

It is an arithmetic number, because the mean of its divisors is an integer number (37944816).

Almost surely, 2^8148314880 is an apocalyptic number.

8148314880 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 8148314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392160512).

8148314880 is an abundant number, since it is smaller than the sum of its proper divisors (24636006144).

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

8148314880 is a wasteful number, since it uses less digits than its factorization.

8148314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 8148314880 is about 90268.0169273702. The cubic root of 8148314880 is about 2012.2839708961.

The spelling of 8148314880 in words is "eight billion, one hundred forty-eight million, three hundred fourteen thousand, eight hundred eighty".