1980946959444 has 144 divisors (see below), whose sum is σ = 5495205315600. Its totient is φ = 599128731648.

The previous prime is 1980946959437. The next prime is 1980946959457. The reversal of 1980946959444 is 4449596490891.

1980946959444 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 94 + 6 + 95 + 9 + 444 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 537344709444 + 1443602250000 = 733038^2 + 1201500^2 .

It is a super-2 number, since 2×1980946959444² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2066902 + ... + 2869490.

It is an arithmetic number, because the mean of its divisors is an integer number (38161148025).

Almost surely, 2^{1980946959444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980946959444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747602657800).

1980946959444 is an abundant number, since it is smaller than the sum of its proper divisors (3514258356156).

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

1980946959444 is a wasteful number, since it uses less digits than its factorization.

1980946959444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802762 (or 802757 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 1980946959444 in words is "one trillion, nine hundred eighty billion, nine hundred forty-six million, nine hundred fifty-nine thousand, four hundred forty-four".