8148049920 has 504 divisors, whose sum is σ = 30454293168. Its totient is φ = 2011299840.

The previous prime is 8148049891. The next prime is 8148049961. The reversal of 8148049920 is 299408418.

8148049920 is a `hidden beast` number, since 81 + 4 + 80 + 499 + 2 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 262840305 + ... + 262840335.

Almost surely, 2^8148049920 is an apocalyptic number.

8148049920 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 8148049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227146584).

8148049920 is an abundant number, since it is smaller than the sum of its proper divisors (22306243248).

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

8148049920 is a wasteful number, since it uses less digits than its factorization.

8148049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8148049920 is about 90266.5492859897. The cubic root of 8148049920 is about 2012.2621594112.

The spelling of 8148049920 in words is "eight billion, one hundred forty-eight million, forty-nine thousand, nine hundred twenty".