1981777048944 has 320 divisors, whose sum is σ = 6598587663360. Its totient is φ = 497581056000.

The previous prime is 1981777048883. The next prime is 1981777048987. The reversal of 1981777048944 is 4498407771891.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16457434 + ... + 16577414.

It is an arithmetic number, because the mean of its divisors is an integer number (20620586448).

Almost surely, 2^{1981777048944} is an apocalyptic number.

1981777048944 is a gapful number since it is divisible by the number (14) 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 1981777048944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299293831680).

1981777048944 is an abundant number, since it is smaller than the sum of its proper divisors (4616810614416).

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

1981777048944 is a wasteful number, since it uses less digits than its factorization.

1981777048944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120160 (or 120154 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 69.

The spelling of 1981777048944 in words is "one trillion, nine hundred eighty-one billion, seven hundred seventy-seven million, forty-eight thousand, nine hundred forty-four".