381261194496000 has 9216 divisors, whose sum is σ = 1908610179840000. Its totient is φ = 72415287705600.

The previous prime is 381261194495981. The next prime is 381261194496041. The reversal of 381261194496000 is 694491162183.

381261194496000 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 61 + 1 + 94 + 496 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6462054143971 + ... + 6462054144029.

It is an arithmetic number, because the mean of its divisors is an integer number (207097458750).

Almost surely, 2^{381261194496000} is an apocalyptic number.

381261194496000 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 381261194496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954305089920000).

381261194496000 is an abundant number, since it is smaller than the sum of its proper divisors (1527348985344000).

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

381261194496000 is a wasteful number, since it uses less digits than its factorization.

381261194496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 381261194496000 in words is "three hundred eighty-one trillion, two hundred sixty-one billion, one hundred ninety-four million, four hundred ninety-six thousand".