381009242347776 has 2304 divisors, whose sum is σ = 1489920983040000. Its totient is φ = 95456205250560.

The previous prime is 381009242347771. The next prime is 381009242347819. The reversal of 381009242347776 is 677743242900183.

381009242347776 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 0 + 92 + 4 + 2 + 3 + 477 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (381009242347771) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 32117438421 + ... + 32117450283.

Almost surely, 2^{381009242347776} is an apocalyptic number.

381009242347776 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 381009242347776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744960491520000).

381009242347776 is an abundant number, since it is smaller than the sum of its proper divisors (1108911740692224).

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

381009242347776 is a wasteful number, since it uses less digits than its factorization.

381009242347776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11948 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 381009242347776 in words is "three hundred eighty-one trillion, nine billion, two hundred forty-two million, three hundred forty-seven thousand, seven hundred seventy-six".