126865513374984 has 640 divisors, whose sum is σ = 392837051819520. Its totient is φ = 38086524518400.

The previous prime is 126865513374973. The next prime is 126865513374989. The reversal of 126865513374984 is 489473315568621.

126865513374984 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 65 + 513 + 3 + 7 + 49 + 8 + 4 = 666.

126865513374984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (126865513374989) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10111216599 + ... + 10111229145.

It is an arithmetic number, because the mean of its divisors is an integer number (613807893468).

Almost surely, 2^{126865513374984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126865513374984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196418525909760).

126865513374984 is an abundant number, since it is smaller than the sum of its proper divisors (265971538444536).

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

126865513374984 is a wasteful number, since it uses less digits than its factorization.

126865513374984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13051 (or 13038 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 126865513374984 in words is "one hundred twenty-six trillion, eight hundred sixty-five billion, five hundred thirteen million, three hundred seventy-four thousand, nine hundred eighty-four".