381838460817312 has 576 divisors, whose sum is σ = 1215451132882560. Its totient is φ = 116539370348544.

The previous prime is 381838460817301. The next prime is 381838460817329. The reversal of 381838460817312 is 213718064838183.

It is a happy number.

381838460817312 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 3 + 8 + 4 + 608 + 1 + 7 + 3 + 12 = 666.

It is a super-2 number, since 2×381838460817312² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 381838460817312.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1107398728 + ... + 1107743480.

It is an arithmetic number, because the mean of its divisors is an integer number (2110158216810).

Almost surely, 2^{381838460817312} is an apocalyptic number.

381838460817312 is a gapful number since it is divisible by the number (32) 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 381838460817312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607725566441280).

381838460817312 is an abundant number, since it is smaller than the sum of its proper divisors (833612672065248).

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

381838460817312 is a wasteful number, since it uses less digits than its factorization.

381838460817312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344930 (or 344897 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 381838460817312 in words is "three hundred eighty-one trillion, eight hundred thirty-eight billion, four hundred sixty million, eight hundred seventeen thousand, three hundred twelve".