17814889681380 has 384 divisors, whose sum is σ = 64037416181760. Its totient is φ = 4063565076480.

The previous prime is 17814889681339. The next prime is 17814889681441. The reversal of 17814889681380 is 8318698841871.

17814889681380 is a `hidden beast` number, since 1 + 7 + 8 + 1 + 4 + 88 + 96 + 81 + 380 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 17814889681299 and 17814889681308.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 386023467 + ... + 386069613.

It is an arithmetic number, because the mean of its divisors is an integer number (166764104640).

Almost surely, 2^{17814889681380} is an apocalyptic number.

17814889681380 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 17814889681380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32018708090880).

17814889681380 is an abundant number, since it is smaller than the sum of its proper divisors (46222526500380).

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

17814889681380 is a wasteful number, since it uses less digits than its factorization.

17814889681380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50016 (or 50008 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 17814889681380 in words is "seventeen trillion, eight hundred fourteen billion, eight hundred eighty-nine million, six hundred eighty-one thousand, three hundred eighty".