381854904480 has 576 divisors, whose sum is σ = 1547929813248. Its totient is φ = 87081246720.

The previous prime is 381854904479. The next prime is 381854904491. The reversal of 381854904480 is 84409458183.

It is a happy number.

381854904480 is a `hidden beast` number, since 3 + 8 + 18 + 549 + 0 + 4 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141794014 + ... + 141796706.

It is an arithmetic number, because the mean of its divisors is an integer number (2687378148).

Almost surely, 2^381854904480 is an apocalyptic number.

381854904480 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 381854904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773964906624).

381854904480 is an abundant number, since it is smaller than the sum of its proper divisors (1166074908768).

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

381854904480 is a wasteful number, since it uses less digits than its factorization.

381854904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 381854904480 in words is "three hundred eighty-one billion, eight hundred fifty-four million, nine hundred four thousand, four hundred eighty".