18412268863680 has 1344 divisors, whose sum is σ = 70887272601600. Its totient is φ = 4532198178816.

The previous prime is 18412268863531. The next prime is 18412268863691. The reversal of 18412268863680 is 8636886221481.

18412268863680 is a `hidden beast` number, since 1 + 8 + 4 + 1 + 2 + 268 + 8 + 6 + 368 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39767319129 + ... + 39767319591.

It is an arithmetic number, because the mean of its divisors is an integer number (52743506400).

Almost surely, 2^{18412268863680} is an apocalyptic number.

18412268863680 is a gapful number since it is divisible by the number (10) 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 18412268863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35443636300800).

18412268863680 is an abundant number, since it is smaller than the sum of its proper divisors (52475003737920).

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

18412268863680 is a wasteful number, since it uses less digits than its factorization.

18412268863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 18412268863680 in words is "eighteen trillion, four hundred twelve billion, two hundred sixty-eight million, eight hundred sixty-three thousand, six hundred eighty".