126603910416 has 160 divisors (see below), whose sum is σ = 349980099840. Its totient is φ = 39298940928.

The previous prime is 126603910397. The next prime is 126603910417. The reversal of 126603910416 is 614019306621.

It is not an unprimeable number, because it can be changed into a prime (126603910417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31204260 + ... + 31208316.

It is an arithmetic number, because the mean of its divisors is an integer number (2187375624).

Almost surely, 2^126603910416 is an apocalyptic number.

126603910416 is a gapful number since it is divisible by the number (16) 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 126603910416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174990049920).

126603910416 is an abundant number, since it is smaller than the sum of its proper divisors (223376189424).

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

126603910416 is a wasteful number, since it uses less digits than its factorization.

126603910416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 126603910416 in words is "one hundred twenty-six billion, six hundred three million, nine hundred ten thousand, four hundred sixteen".