8148833280 has 660 divisors, whose sum is σ = 34052999508. Its totient is φ = 1857945600.

The previous prime is 8148833267. The next prime is 8148833339. The reversal of 8148833280 is 823388418.

It can be written as a sum of positive squares in 2 ways, for example, as 6181733376 + 1967099904 = 78624^2 + 44352^2 .

It is a super-3 number, since 3×8148833280³ (a number of 31 digits) contains 333 as substring.

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 59 ways as a sum of consecutive naturals, for example, 20321080 + ... + 20321480.

Almost surely, 2^8148833280 is an apocalyptic number.

8148833280 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 8148833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026499754).

8148833280 is an abundant number, since it is smaller than the sum of its proper divisors (25904166228).

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

8148833280 is a wasteful number, since it uses less digits than its factorization.

8148833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8148833280 is about 90270.8883306241. Note that the first 3 decimals coincide. The cubic root of 8148833280 is about 2012.3266441729.

The spelling of 8148833280 in words is "eight billion, one hundred forty-eight million, eight hundred thirty-three thousand, two hundred eighty".