381825614000 has 80 divisors (see below), whose sum is σ = 925916692896. Its totient is φ = 152289824000.

The previous prime is 381825613943. The next prime is 381825614003. The reversal of 381825614000 is 416528183.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (381825614003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418910 + ... + 969090.

Almost surely, 2^381825614000 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 381825614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462958346448).

381825614000 is an abundant number, since it is smaller than the sum of its proper divisors (544091078896).

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

381825614000 is a wasteful number, since it uses less digits than its factorization.

381825614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550551 (or 550535 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 381825614000 in words is "three hundred eighty-one billion, eight hundred twenty-five million, six hundred fourteen thousand".