18530895408768 has 640 divisors, whose sum is σ = 62074562932800. Its totient is φ = 5453003980800.

The previous prime is 18530895408757. The next prime is 18530895408959. The reversal of 18530895408768 is 86780459803581.

18530895408768 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 0 + 8 + 9 + 540 + 8 + 76 + 8 = 666.

It is a super-2 number, since 2×18530895408768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18530895408696 and 18530895408705.

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 79 ways as a sum of consecutive naturals, for example, 338207871 + ... + 338262657.

Almost surely, 2^{18530895408768} is an apocalyptic number.

18530895408768 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 18530895408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31037281466400).

18530895408768 is an abundant number, since it is smaller than the sum of its proper divisors (43543667524032).

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

18530895408768 is a wasteful number, since it uses less digits than its factorization.

18530895408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54950 (or 54929 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 18530895408768 in words is "eighteen trillion, five hundred thirty billion, eight hundred ninety-five million, four hundred eight thousand, seven hundred sixty-eight".