381960203616 has 192 divisors, whose sum is σ = 1159379827200. Its totient is φ = 122192275968.

The previous prime is 381960203591. The next prime is 381960203629. The reversal of 381960203616 is 616302069183.

381960203616 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 6 + 0 + 20 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4138711 + ... + 4229993.

It is an arithmetic number, because the mean of its divisors is an integer number (6038436600).

Almost surely, 2^381960203616 is an apocalyptic number.

381960203616 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 381960203616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579689913600).

381960203616 is an abundant number, since it is smaller than the sum of its proper divisors (777419623584).

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

381960203616 is a wasteful number, since it uses less digits than its factorization.

381960203616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91498 (or 91484 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 381960203616 in words is "three hundred eighty-one billion, nine hundred sixty million, two hundred three thousand, six hundred sixteen".