126018249984 has 360 divisors, whose sum is σ = 424081516320. Its totient is φ = 36868608000.

The previous prime is 126018249943. The next prime is 126018250003. The reversal of 126018249984 is 489942810621.

It is a happy number.

126018249984 is a `hidden beast` number, since 1 + 2 + 60 + 18 + 2 + 499 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 126018249984.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6605259 + ... + 6624309.

It is an arithmetic number, because the mean of its divisors is an integer number (1178004212).

Almost surely, 2^126018249984 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 126018249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040758160).

126018249984 is an abundant number, since it is smaller than the sum of its proper divisors (298063266336).

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

126018249984 is a wasteful number, since it uses less digits than its factorization.

126018249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 126018249984 in words is "one hundred twenty-six billion, eighteen million, two hundred forty-nine thousand, nine hundred eighty-four".