1838935882368 has 896 divisors, whose sum is σ = 6499187856000. Its totient is φ = 512591929344.

The previous prime is 1838935882367. The next prime is 1838935882471. The reversal of 1838935882368 is 8632885398381.

1838935882368 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 9 + 3 + 588 + 2 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1838935882296 and 1838935882305.

It is not an unprimeable number, because it can be changed into a prime (1838935882367) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 530103738 + ... + 530107206.

It is an arithmetic number, because the mean of its divisors is an integer number (7253557875).

Almost surely, 2^{1838935882368} is an apocalyptic number.

1838935882368 is a gapful number since it is divisible by the number (18) 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 1838935882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249593928000).

1838935882368 is an abundant number, since it is smaller than the sum of its proper divisors (4660251973632).

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

1838935882368 is a wasteful number, since it uses less digits than its factorization.

1838935882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3529 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 1838935882368 in words is "one trillion, eight hundred thirty-eight billion, nine hundred thirty-five million, eight hundred eighty-two thousand, three hundred sixty-eight".