518121648 has 240 divisors, whose sum is σ = 1704748032. Its totient is φ = 145152000.

The previous prime is 518121613. The next prime is 518121649. The reversal of 518121648 is 846121815.

518121648 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 2 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (15360) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (518121649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911753 + ... + 1912023.

Almost surely, 2^518121648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518121648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852374016).

518121648 is an abundant number, since it is smaller than the sum of its proper divisors (1186626384).

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

518121648 is a wasteful number, since it uses less digits than its factorization.

518121648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 518121648 is about 22762.2856497321. The cubic root of 518121648 is about 803.1757350357.

The spelling of 518121648 in words is "five hundred eighteen million, one hundred twenty-one thousand, six hundred forty-eight".