381619206144 has 672 divisors, whose sum is σ = 1314821289600. Its totient is φ = 109466173440.

The previous prime is 381619206139. The next prime is 381619206169. The reversal of 381619206144 is 441602916183.

381619206144 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 1 + 9 + 20 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 381619206144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 312034717 + ... + 312035939.

It is an arithmetic number, because the mean of its divisors is an integer number (1956579300).

Almost surely, 2^381619206144 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 381619206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657410644800).

381619206144 is an abundant number, since it is smaller than the sum of its proper divisors (933202083456).

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

381619206144 is a wasteful number, since it uses less digits than its factorization.

381619206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 381619206144 in words is "three hundred eighty-one billion, six hundred nineteen million, two hundred six thousand, one hundred forty-four".