126123368448 has 672 divisors, whose sum is σ = 433417114368. Its totient is φ = 31921274880.

The previous prime is 126123368387. The next prime is 126123368461. The reversal of 126123368448 is 844863321621.

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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126123368397 and 126123368406.

It is a congruent number.

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, 1519558615 + ... + 1519558697.

It is an arithmetic number, because the mean of its divisors is an integer number (644965944).

Almost surely, 2^126123368448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126123368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216708557184).

126123368448 is an abundant number, since it is smaller than the sum of its proper divisors (307293745920).

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

126123368448 is an equidigital number, since it uses as much as digits as its factorization.

126123368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 126123368448 in words is "one hundred twenty-six billion, one hundred twenty-three million, three hundred sixty-eight thousand, four hundred forty-eight".