381063994184160 has 1728 divisors, whose sum is σ = 1635500486011392. Its totient is φ = 83468617150464.

The previous prime is 381063994184143. The next prime is 381063994184273. The reversal of 381063994184160 is 61481499360183.

381063994184160 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 6 + 399 + 4 + 1 + 84 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4341724597 + ... + 4341812363.

It is an arithmetic number, because the mean of its divisors is an integer number (946470188664).

Almost surely, 2^{381063994184160} is an apocalyptic number.

381063994184160 is a gapful number since it is divisible by the number (30) 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 381063994184160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817750243005696).

381063994184160 is an abundant number, since it is smaller than the sum of its proper divisors (1254436491827232).

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

381063994184160 is a wasteful number, since it uses less digits than its factorization.

381063994184160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87907 (or 87880 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 381063994184160 in words is "three hundred eighty-one trillion, sixty-three billion, nine hundred ninety-four million, one hundred eighty-four thousand, one hundred sixty".