18814642076160 has 480 divisors, whose sum is σ = 75874135708800. Its totient is φ = 4219346386944.

The previous prime is 18814642076147. The next prime is 18814642076201. The reversal of 18814642076160 is 6167024641881.

18814642076160 is a `hidden beast` number, since 1 + 8 + 8 + 14 + 6 + 4 + 2 + 0 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 18814642076097 and 18814642076106.

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, 7447291 + ... + 9648389.

It is an arithmetic number, because the mean of its divisors is an integer number (158071116060).

Almost surely, 2^{18814642076160} is an apocalyptic number.

18814642076160 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 18814642076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37937067854400).

18814642076160 is an abundant number, since it is smaller than the sum of its proper divisors (57059493632640).

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

18814642076160 is a wasteful number, since it uses less digits than its factorization.

18814642076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201188 (or 2201169 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 18814642076160 in words is "eighteen trillion, eight hundred fourteen billion, six hundred forty-two million, seventy-six thousand, one hundred sixty".