126884911104 has 864 divisors, whose sum is σ = 464243270400. Its totient is φ = 33861058560.

The previous prime is 126884911103. The next prime is 126884911133. The reversal of 126884911104 is 401119488621.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 126884911104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126884911103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1787111389 + ... + 1787111459.

It is an arithmetic number, because the mean of its divisors is an integer number (537318600).

Almost surely, 2^126884911104 is an apocalyptic number.

126884911104 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 126884911104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232121635200).

126884911104 is an abundant number, since it is smaller than the sum of its proper divisors (337358359296).

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

126884911104 is an frugal number, since it uses more digits than its factorization.

126884911104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 126884911104 in words is "one hundred twenty-six billion, eight hundred eighty-four million, nine hundred eleven thousand, one hundred four".