381850667856 has 200 divisors, whose sum is σ = 1265136079680. Its totient is φ = 108921770496.

The previous prime is 381850667839. The next prime is 381850667867. The reversal of 381850667856 is 658766058183.

It is a happy number.

381850667856 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 506 + 6 + 78 + 56 = 666.

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 = 381850667793 and 381850667802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5563315 + ... + 5631533.

Almost surely, 2^381850667856 is an apocalyptic number.

381850667856 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 381850667856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632568039840).

381850667856 is an abundant number, since it is smaller than the sum of its proper divisors (883285411824).

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

381850667856 is a wasteful number, since it uses less digits than its factorization.

381850667856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68863 (or 68848 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 381850667856 in words is "three hundred eighty-one billion, eight hundred fifty million, six hundred sixty-seven thousand, eight hundred fifty-six".