126229948416 has 576 divisors, whose sum is σ = 434223840960. Its totient is φ = 34823208960.

The previous prime is 126229948393. The next prime is 126229948417. The reversal of 126229948416 is 614849922621.

126229948416 is a `hidden beast` number, since 1 + 2 + 62 + 2 + 99 + 484 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (126229948417) 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, 218769120 + ... + 218769696.

It is an arithmetic number, because the mean of its divisors is an integer number (753860835).

Almost surely, 2^126229948416 is an apocalyptic number.

126229948416 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 126229948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217111920480).

126229948416 is an abundant number, since it is smaller than the sum of its proper divisors (307993892544).

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

126229948416 is a wasteful number, since it uses less digits than its factorization.

126229948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 126229948416 in words is "one hundred twenty-six billion, two hundred twenty-nine million, nine hundred forty-eight thousand, four hundred sixteen".