381339474048 has 768 divisors, whose sum is σ = 1264390041600. Its totient is φ = 113037410304.

The previous prime is 381339474041. The next prime is 381339474049. The reversal of 381339474048 is 840474933183.

381339474048 is a `hidden beast` number, since 38 + 133 + 9 + 474 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 381339473985 and 381339474003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381339474041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3002672961 + ... + 3002673087.

It is an arithmetic number, because the mean of its divisors is an integer number (1646341200).

Almost surely, 2^381339474048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381339474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632195020800).

381339474048 is an abundant number, since it is smaller than the sum of its proper divisors (883050567552).

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

381339474048 is a wasteful number, since it uses less digits than its factorization.

381339474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 381339474048 in words is "three hundred eighty-one billion, three hundred thirty-nine million, four hundred seventy-four thousand, forty-eight".