18513690048 has 448 divisors, whose sum is σ = 64997990400. Its totient is φ = 5056266240.

The previous prime is 18513690043. The next prime is 18513690061. The reversal of 18513690048 is 84009631581.

18513690048 is a `hidden beast` number, since 1 + 8 + 513 + 6 + 90 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 18513689985 and 18513690012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18513690043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36372418 + ... + 36372926.

It is an arithmetic number, because the mean of its divisors is an integer number (145084800).

Almost surely, 2^18513690048 is an apocalyptic number.

18513690048 is a gapful number since it is divisible by the number (18) 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 18513690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32498995200).

18513690048 is an abundant number, since it is smaller than the sum of its proper divisors (46484300352).

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

18513690048 is a wasteful number, since it uses less digits than its factorization.

18513690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18513690048 in words is "eighteen billion, five hundred thirteen million, six hundred ninety thousand, forty-eight".