126029483044416 has 336 divisors, whose sum is σ = 416319439810560. Its totient is φ = 35705824358400.

The previous prime is 126029483044379. The next prime is 126029483044427. The reversal of 126029483044416 is 614440384920621.

126029483044416 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 294 + 8 + 304 + 4 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973368930 + ... + 973498398.

Almost surely, 2^{126029483044416} is an apocalyptic number.

126029483044416 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 126029483044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208159719905280).

126029483044416 is an abundant number, since it is smaller than the sum of its proper divisors (290289956766144).

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

126029483044416 is a wasteful number, since it uses less digits than its factorization.

126029483044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131522 (or 131509 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 126029483044416 in words is "one hundred twenty-six trillion, twenty-nine billion, four hundred eighty-three million, forty-four thousand, four hundred sixteen".