381803845222800 has 8640 divisors, whose sum is σ = 1976733560954880. Its totient is φ = 68286468096000.

The previous prime is 381803845222781. The next prime is 381803845222843. The reversal of 381803845222800 is 8222548308183.

381803845222800 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 0 + 38 + 4 + 522 + 2 + 80 + 0 = 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 1727 ways as a sum of consecutive naturals, for example, 4289930845156 + ... + 4289930845244.

It is an arithmetic number, because the mean of its divisors is an integer number (228788606592).

Almost surely, 2^{381803845222800} is an apocalyptic number.

381803845222800 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 381803845222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988366780477440).

381803845222800 is an abundant number, since it is smaller than the sum of its proper divisors (1594929715732080).

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

381803845222800 is a wasteful number, since it uses less digits than its factorization.

381803845222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 381803845222800 in words is "three hundred eighty-one trillion, eight hundred three billion, eight hundred forty-five million, two hundred twenty-two thousand, eight hundred".