381868433856 has 1512 divisors, whose sum is σ = 1533701448720. Its totient is φ = 92334090240.

The previous prime is 381868433851. The next prime is 381868433873. The reversal of 381868433856 is 658334868183.

It is a happy number.

381868433856 is a `hidden beast` number, since 38 + 186 + 8 + 43 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 381868433793 and 381868433802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381868433851) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12318336561 + ... + 12318336591.

It is an arithmetic number, because the mean of its divisors is an integer number (1014352810).

Almost surely, 2^381868433856 is an apocalyptic number.

381868433856 is a gapful number since it is divisible by the number (36) 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 381868433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766850724360).

381868433856 is an abundant number, since it is smaller than the sum of its proper divisors (1151833014864).

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

381868433856 is a wasteful number, since it uses less digits than its factorization.

381868433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 75 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 381868433856 in words is "three hundred eighty-one billion, eight hundred sixty-eight million, four hundred thirty-three thousand, eight hundred fifty-six".