1884085664400 has 135 divisors (see below), whose sum is σ = 6538586427451. Its totient is φ = 502400881920.

The previous prime is 1884085664393. The next prime is 1884085664431. The reversal of 1884085664400 is 44665804881.

It is a happy number.

The square root of 1884085664400 is 1372620.

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

1884085664400 is a `hidden beast` number, since 1 + 88 + 40 + 85 + 6 + 6 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 162405776016 + 1721679888384 = 402996^2 + 1312128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82345762 + ... + 82368638.

Almost surely, 2^{1884085664400} is an apocalyptic number.

1884085664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1884085664400 is the 1372620-th square number.

It is an amenable number.

1884085664400 is an abundant number, since it is smaller than the sum of its proper divisors (4654500763051).

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

1884085664400 is an frugal number, since it uses more digits than its factorization.

1884085664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45778 (or 22887 counting only the distinct ones).

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

The spelling of 1884085664400 in words is "one trillion, eight hundred eighty-four billion, eighty-five million, six hundred sixty-four thousand, four hundred".