18132119381376 has 3584 divisors, whose sum is σ = 81181786291200. Its totient is φ = 3869835264000.

The previous prime is 18132119381347. The next prime is 18132119381381. The reversal of 18132119381376 is 67318391123181.

18132119381376 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 2 + 1 + 193 + 81 + 376 = 666.

It is a super-3 number, since 3×18132119381376³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 447 ways as a sum of consecutive naturals, for example, 30169915476 + ... + 30169916076.

It is an arithmetic number, because the mean of its divisors is an integer number (22651168050).

Almost surely, 2^{18132119381376} is an apocalyptic number.

18132119381376 is a gapful number since it is divisible by the number (16) 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 18132119381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40590893145600).

18132119381376 is an abundant number, since it is smaller than the sum of its proper divisors (63049666909824).

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

18132119381376 is a wasteful number, since it uses less digits than its factorization.

18132119381376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 673 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 18132119381376 in words is "eighteen trillion, one hundred thirty-two billion, one hundred nineteen million, three hundred eighty-one thousand, three hundred seventy-six".