18530008248960 has 192 divisors, whose sum is σ = 68908468454280. Its totient is φ = 4561232781312.

The previous prime is 18530008248937. The next prime is 18530008248977. The reversal of 18530008248960 is 6984280003581.

18530008248960 is a `hidden beast` number, since 1 + 8 + 5 + 300 + 0 + 8 + 248 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13003409088576 + 5526599160384 = 3606024^2 + 2350872^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×18530008248960² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18530008248897 and 18530008248906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123656479 + ... + 123806238.

Almost surely, 2^{18530008248960} is an apocalyptic number.

18530008248960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18530008248960 is an abundant number, since it is smaller than the sum of its proper divisors (50378460205320).

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

18530008248960 is a wasteful number, since it uses less digits than its factorization.

18530008248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247462755 (or 247462740 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 18530008248960 in words is "eighteen trillion, five hundred thirty billion, eight million, two hundred forty-eight thousand, nine hundred sixty".