1838846981664 has 1152 divisors, whose sum is σ = 7047176048640. Its totient is φ = 440681472000.

The previous prime is 1838846981591. The next prime is 1838846981681. The reversal of 1838846981664 is 4661896488381.

1838846981664 is a `hidden beast` number, since 1 + 8 + 3 + 88 + 469 + 81 + 6 + 6 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1838846981592 and 1838846981601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2623176514 + ... + 2623177214.

It is an arithmetic number, because the mean of its divisors is an integer number (6117340320).

Almost surely, 2^{1838846981664} is an apocalyptic number.

1838846981664 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 1838846981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523588024320).

1838846981664 is an abundant number, since it is smaller than the sum of its proper divisors (5208329066976).

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

1838846981664 is a wasteful number, since it uses less digits than its factorization.

1838846981664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

The spelling of 1838846981664 in words is "one trillion, eight hundred thirty-eight billion, eight hundred forty-six million, nine hundred eighty-one thousand, six hundred sixty-four".