1974784131138 has 576 divisors, whose sum is σ = 5523690153600. Its totient is φ = 467064299520.

The previous prime is 1974784131137. The next prime is 1974784131161. The reversal of 1974784131138 is 8311314874791.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1974784131137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1450979578 + ... + 1450980938.

It is an arithmetic number, because the mean of its divisors is an integer number (9589739850).

Almost surely, 2^{1974784131138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1974784131138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761845076800).

1974784131138 is an abundant number, since it is smaller than the sum of its proper divisors (3548906022462).

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

1974784131138 is a wasteful number, since it uses less digits than its factorization.

1974784131138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1487 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 57.

The spelling of 1974784131138 in words is "one trillion, nine hundred seventy-four billion, seven hundred eighty-four million, one hundred thirty-one thousand, one hundred thirty-eight".