1982091175974 has 288 divisors, whose sum is σ = 5452850763360. Its totient is φ = 515686155264.

The previous prime is 1982091175973. The next prime is 1982091175993. The reversal of 1982091175974 is 4795711902891.

1982091175974 is a `hidden beast` number, since 1 + 9 + 8 + 20 + 9 + 1 + 17 + 597 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982091175973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 948821922 + ... + 948824010.

It is an arithmetic number, because the mean of its divisors is an integer number (18933509595).

Almost surely, 2^{1982091175974} is an apocalyptic number.

1982091175974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982091175974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726425381680).

1982091175974 is an abundant number, since it is smaller than the sum of its proper divisors (3470759587386).

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

1982091175974 is a wasteful number, since it uses less digits than its factorization.

1982091175974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 1982091175974 in words is "one trillion, nine hundred eighty-two billion, ninety-one million, one hundred seventy-five thousand, nine hundred seventy-four".