126608035663296 has 1344 divisors, whose sum is σ = 454451679360000. Its totient is φ = 34373665751040.

The previous prime is 126608035663283. The next prime is 126608035663301. The reversal of 126608035663296 is 692366530806621.

126608035663296 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 8 + 0 + 3 + 566 + 3 + 2 + 9 + 6 = 666.

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, 8132051800 + ... + 8132067368.

It is an arithmetic number, because the mean of its divisors is an integer number (338133690000).

Almost surely, 2^{126608035663296} is an apocalyptic number.

126608035663296 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 126608035663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227225839680000).

126608035663296 is an abundant number, since it is smaller than the sum of its proper divisors (327843643696704).

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

126608035663296 is a wasteful number, since it uses less digits than its factorization.

126608035663296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15743 (or 15716 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 126608035663296 in words is "one hundred twenty-six trillion, six hundred eight billion, thirty-five million, six hundred sixty-three thousand, two hundred ninety-six".