381809889216 has 672 divisors, whose sum is σ = 1380094410240. Its totient is φ = 102308769792.

The previous prime is 381809889203. The next prime is 381809889229. The reversal of 381809889216 is 612988908183.

It is a happy number.

381809889216 is a `hidden beast` number, since 381 + 80 + 9 + 88 + 92 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (381809889203) and next prime (381809889229).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 3.

It is a congruent number.

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, 1349151411 + ... + 1349151693.

It is an arithmetic number, because the mean of its divisors is an integer number (2053711920).

Almost surely, 2^381809889216 is an apocalyptic number.

381809889216 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 381809889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690047205120).

381809889216 is an abundant number, since it is smaller than the sum of its proper divisors (998284521024).

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

381809889216 is an frugal number, since it uses more digits than its factorization.

381809889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 381809889216 in words is "three hundred eighty-one billion, eight hundred nine million, eight hundred eighty-nine thousand, two hundred sixteen".