381265637656176 has 1920 divisors, whose sum is σ = 1392079861186560. Its totient is φ = 94738852454400.

The previous prime is 381265637656063. The next prime is 381265637656177. The reversal of 381265637656176 is 671656736562183.

381265637656176 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 6 + 56 + 3 + 7 + 6 + 561 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381265637656177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1151859932331 + ... + 1151859932661.

It is an arithmetic number, because the mean of its divisors is an integer number (725041594368).

Almost surely, 2^{381265637656176} is an apocalyptic number.

381265637656176 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 381265637656176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696039930593280).

381265637656176 is an abundant number, since it is smaller than the sum of its proper divisors (1010814223530384).

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

381265637656176 is a wasteful number, since it uses less digits than its factorization.

381265637656176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 381265637656176 in words is "three hundred eighty-one trillion, two hundred sixty-five billion, six hundred thirty-seven million, six hundred fifty-six thousand, one hundred seventy-six".