1894381004448 has 240 divisors, whose sum is σ = 6066779796000. Its totient is φ = 577596676608.

The previous prime is 1894381004363. The next prime is 1894381004479. The reversal of 1894381004448 is 8444001834981.

1894381004448 is a `hidden beast` number, since 1 + 8 + 94 + 3 + 8 + 100 + 4 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1894381004394 and 1894381004403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764983 + ... + 2091401.

It is an arithmetic number, because the mean of its divisors is an integer number (25278249150).

Almost surely, 2^{1894381004448} is an apocalyptic number.

1894381004448 is a gapful number since it is divisible by the number (18) 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 1894381004448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033389898000).

1894381004448 is an abundant number, since it is smaller than the sum of its proper divisors (4172398791552).

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

1894381004448 is a wasteful number, since it uses less digits than its factorization.

1894381004448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326489 (or 1326472 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1894381004448 in words is "one trillion, eight hundred ninety-four billion, three hundred eighty-one million, four thousand, four hundred forty-eight".