18893651082768 has 240 divisors, whose sum is σ = 65926497326976. Its totient is φ = 4907203983360.

The previous prime is 18893651082739. The next prime is 18893651082793. The reversal of 18893651082768 is 86728015639881.

18893651082768 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 36 + 510 + 8 + 2 + 76 + 8 = 666.

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 = 18893651082696 and 18893651082705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445195246 + ... + 445237682.

Almost surely, 2^{18893651082768} is an apocalyptic number.

18893651082768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18893651082768 is an abundant number, since it is smaller than the sum of its proper divisors (47032846244208).

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

18893651082768 is a wasteful number, since it uses less digits than its factorization.

18893651082768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82622 (or 82613 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 18893651082768 in words is "eighteen trillion, eight hundred ninety-three billion, six hundred fifty-one million, eighty-two thousand, seven hundred sixty-eight".