381603889463160 has 768 divisors, whose sum is σ = 1584544826188800. Its totient is φ = 72483390701568.

The previous prime is 381603889463087. The next prime is 381603889463171. The reversal of 381603889463160 is 61364988306183.

It is a junction number, because it is equal to n+sod(n) for n = 381603889463091 and 381603889463100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23504151 + ... + 36271929.

It is an arithmetic number, because the mean of its divisors is an integer number (2063209409100).

Almost surely, 2^{381603889463160} is an apocalyptic number.

381603889463160 is a gapful number since it is divisible by the number (30) 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 381603889463160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792272413094400).

381603889463160 is an abundant number, since it is smaller than the sum of its proper divisors (1202940936725640).

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

381603889463160 is a wasteful number, since it uses less digits than its factorization.

381603889463160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12767860 (or 12767849 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 381603889463160 in words is "three hundred eighty-one trillion, six hundred three billion, eight hundred eighty-nine million, four hundred sixty-three thousand, one hundred sixty".