126406813992984 has 768 divisors, whose sum is σ = 429862687027200. Its totient is φ = 34272564480000.

The previous prime is 126406813992917. The next prime is 126406813993001. The reversal of 126406813992984 is 489299318604621.

126406813992984 is a `hidden beast` number, since 1 + 2 + 6 + 406 + 8 + 139 + 9 + 2 + 9 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6624738324 + ... + 6624757404.

It is an arithmetic number, because the mean of its divisors is an integer number (559717040400).

Almost surely, 2^{126406813992984} is an apocalyptic number.

126406813992984 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 126406813992984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214931343513600).

126406813992984 is an abundant number, since it is smaller than the sum of its proper divisors (303455873034216).

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

126406813992984 is a wasteful number, since it uses less digits than its factorization.

126406813992984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19516 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 126406813992984 in words is "one hundred twenty-six trillion, four hundred six billion, eight hundred thirteen million, nine hundred ninety-two thousand, nine hundred eighty-four".