1982777094144 has 2496 divisors, whose sum is σ = 8175378124800. Its totient is φ = 468202291200.

The previous prime is 1982777094143. The next prime is 1982777094167. The reversal of 1982777094144 is 4414907772891.

1982777094144 is a `hidden beast` number, since 1 + 9 + 82 + 77 + 70 + 9 + 414 + 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 (1982777094143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53588570094 + ... + 53588570130.

Almost surely, 2^{1982777094144} is an apocalyptic number.

1982777094144 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 1982777094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087689062400).

1982777094144 is an abundant number, since it is smaller than the sum of its proper divisors (6192601030656).

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

1982777094144 is a wasteful number, since it uses less digits than its factorization.

1982777094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 1982777094144 in words is "one trillion, nine hundred eighty-two billion, seven hundred seventy-seven million, ninety-four thousand, one hundred forty-four".