1894366849600 has 189 divisors, whose sum is σ = 4922289655401. Its totient is φ = 717468940800.

The previous prime is 1894366849567. The next prime is 1894366849601. The reversal of 1894366849600 is 69486634981.

It is a happy number.

The square root of 1894366849600 is 1376360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 681972065856 + 1212394783744 = 825816^2 + 1101088^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1894366849601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1046032695 + ... + 1046034505.

Almost surely, 2^{1894366849600} is an apocalyptic number.

1894366849600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1894366849600 is the 1376360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1894366849600

1894366849600 is an abundant number, since it is smaller than the sum of its proper divisors (3027922805801).

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

1894366849600 is an frugal number, since it uses more digits than its factorization.

1894366849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

Multiplying 1894366849600 by its sum of digits (64), we get a square (121239478374400 = 11010880²).

1894366849600 divided by its sum of digits (64) gives a square (29599482025 = 172045²).

The spelling of 1894366849600 in words is "one trillion, eight hundred ninety-four billion, three hundred sixty-six million, eight hundred forty-nine thousand, six hundred".