381434546304000 has 3168 divisors, whose sum is σ = 1652863568821920. Its totient is φ = 84276412416000.

The previous prime is 381434546303981. The next prime is 381434546304151. The reversal of 381434546304000 is 403645434183.

381434546304000 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 3 + 4 + 5 + 4 + 630 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 333878847611904 + 47555698692096 = 18272352^2 + 6896064^2 .

It is a super-3 number, since 3×381434546304000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 378032255496 + ... + 378032256504.

Almost surely, 2^{381434546304000} is an apocalyptic number.

381434546304000 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 381434546304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826431784410960).

381434546304000 is an abundant number, since it is smaller than the sum of its proper divisors (1271429022517920).

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

381434546304000 is a wasteful number, since it uses less digits than its factorization.

381434546304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 381434546304000 in words is "three hundred eighty-one trillion, four hundred thirty-four billion, five hundred forty-six million, three hundred four thousand".