381552768000 has 1408 divisors, whose sum is σ = 1508268902400. Its totient is φ = 96148684800.

The previous prime is 381552767977. The next prime is 381552768049. The reversal of 381552768000 is 867255183.

381552768000 is a `hidden beast` number, since 38 + 1 + 552 + 7 + 68 + 0 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 8118143977 + ... + 8118144023.

Almost surely, 2^381552768000 is an apocalyptic number.

381552768000 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 381552768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754134451200).

381552768000 is an abundant number, since it is smaller than the sum of its proper divisors (1126716134400).

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

381552768000 is an frugal number, since it uses more digits than its factorization.

381552768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 381552768000 in words is "three hundred eighty-one billion, five hundred fifty-two million, seven hundred sixty-eight thousand".