126322993716084 has 1152 divisors, whose sum is σ = 402166259712000. Its totient is φ = 34120652544000.

The previous prime is 126322993716071. The next prime is 126322993716091. The reversal of 126322993716084 is 480617399223621.

126322993716084 is a `hidden beast` number, since 1 + 26 + 3 + 22 + 99 + 371 + 60 + 84 = 666.

126322993716084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41787293797 + ... + 41787296819.

It is an arithmetic number, because the mean of its divisors is an integer number (349102656000).

Almost surely, 2^{126322993716084} 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 126322993716084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201083129856000).

126322993716084 is an abundant number, since it is smaller than the sum of its proper divisors (275843265995916).

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

126322993716084 is a wasteful number, since it uses less digits than its factorization.

126322993716084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 126322993716084 in words is "one hundred twenty-six trillion, three hundred twenty-two billion, nine hundred ninety-three million, seven hundred sixteen thousand, eighty-four".