1820416195984 has 135 divisors (see below), whose sum is σ = 3824299386819. Its totient is φ = 839327754240.

The previous prime is 1820416195981. The next prime is 1820416195991. The reversal of 1820416195984 is 4895916140281.

The square root of 1820416195984 is 1349228.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1302200499600 + 518215696384 = 1141140^2 + 719872^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1820416195981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4204194232 + ... + 4204194664.

Almost surely, 2^{1820416195984} is an apocalyptic number.

1820416195984 is the 1349228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820416195984

1820416195984 is an abundant number, since it is smaller than the sum of its proper divisors (2003883190835).

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

1820416195984 is an frugal number, since it uses more digits than its factorization.

1820416195984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

It can be divided in two parts, 1820416 and 195984, that added together give a square (2016400 = 1420²).

The spelling of 1820416195984 in words is "one trillion, eight hundred twenty billion, four hundred sixteen million, one hundred ninety-five thousand, nine hundred eighty-four".