381199851648 has 1280 divisors, whose sum is σ = 1487011553280. Its totient is φ = 94058496000.

The previous prime is 381199851631. The next prime is 381199851667. The reversal of 381199851648 is 846158991183.

381199851648 is a `hidden beast` number, since 381 + 1 + 9 + 98 + 5 + 164 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1806634263 + ... + 1806634473.

It is an arithmetic number, because the mean of its divisors is an integer number (1161727776).

Almost surely, 2^381199851648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381199851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743505776640).

381199851648 is an abundant number, since it is smaller than the sum of its proper divisors (1105811701632).

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

381199851648 is a wasteful number, since it uses less digits than its factorization.

381199851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 381199851648 in words is "three hundred eighty-one billion, one hundred ninety-nine million, eight hundred fifty-one thousand, six hundred forty-eight".