126044921856 has 672 divisors, whose sum is σ = 426006231552. Its totient is φ = 32920043520.

The previous prime is 126044921843. The next prime is 126044921857. The reversal of 126044921856 is 658129440621.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126044921857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962174911 + ... + 962175041.

Almost surely, 2^126044921856 is an apocalyptic number.

126044921856 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 126044921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213003115776).

126044921856 is an abundant number, since it is smaller than the sum of its proper divisors (299961309696).

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

126044921856 is a wasteful number, since it uses less digits than its factorization.

126044921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 126044921856 in words is "one hundred twenty-six billion, forty-four million, nine hundred twenty-one thousand, eight hundred fifty-six".