381583142064 has 120 divisors (see below), whose sum is σ = 1094296366800. Its totient is φ = 124052705280.

The previous prime is 381583142051. The next prime is 381583142113. The reversal of 381583142064 is 460241385183.

381583142064 is a `hidden beast` number, since 3 + 8 + 1 + 583 + 1 + 4 + 2 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22952347 + ... + 22968965.

It is an arithmetic number, because the mean of its divisors is an integer number (9119136390).

Almost surely, 2^381583142064 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 381583142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547148183400).

381583142064 is an abundant number, since it is smaller than the sum of its proper divisors (712713224736).

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

381583142064 is a wasteful number, since it uses less digits than its factorization.

381583142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20563 (or 20554 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 381583142064 in words is "three hundred eighty-one billion, five hundred eighty-three million, one hundred forty-two thousand, sixty-four".