18141276384 has 432 divisors, whose sum is σ = 66924748800. Its totient is φ = 4558118400.

The previous prime is 18141276371. The next prime is 18141276401. The reversal of 18141276384 is 48367214181.

18141276384 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 1 + 2 + 7 + 638 + 4 = 666.

It is a super-2 number, since 2×18141276384² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7560817 + ... + 7563215.

It is an arithmetic number, because the mean of its divisors is an integer number (154918400).

Almost surely, 2^18141276384 is an apocalyptic number.

18141276384 is a gapful number since it is divisible by the number (14) 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 18141276384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33462374400).

18141276384 is an abundant number, since it is smaller than the sum of its proper divisors (48783472416).

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

18141276384 is a wasteful number, since it uses less digits than its factorization.

18141276384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2453 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 18141276384 in words is "eighteen billion, one hundred forty-one million, two hundred seventy-six thousand, three hundred eighty-four".