1982756874816 has 567 divisors, whose sum is σ = 6165234190843. Its totient is φ = 632632965120.

The previous prime is 1982756874811. The next prime is 1982756874883. The reversal of 1982756874816 is 6184786572891.

It is a happy number.

The square root of 1982756874816 is 1408104.

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

1982756874816 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 7 + 568 + 7 + 48 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 214665422400 + 1768091452416 = 463320^2 + 1329696^2 .

It is a super-2 number, since 2×1982756874816² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

Its product of digits (325140480) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (1982756874811) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37410507046 + ... + 37410507098.

Almost surely, 2^{1982756874816} is an apocalyptic number.

1982756874816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1982756874816 is the 1408104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982756874816

1982756874816 is an abundant number, since it is smaller than the sum of its proper divisors (4182477316027).

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

1982756874816 is an frugal number, since it uses more digits than its factorization.

1982756874816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 99 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 1982756874816 in words is "one trillion, nine hundred eighty-two billion, seven hundred fifty-six million, eight hundred seventy-four thousand, eight hundred sixteen".