126321447168 has 216 divisors, whose sum is σ = 416544372608. Its totient is φ = 36066041856.

The previous prime is 126321447127. The next prime is 126321447173. The reversal of 126321447168 is 861744123621.

126321447168 is a `hidden beast` number, since 1 + 2 + 632 + 1 + 4 + 4 + 7 + 1 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43753821 + ... + 43756707.

Almost surely, 2^126321447168 is an apocalyptic number.

126321447168 is a gapful number since it is divisible by the number (18) 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 126321447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208272186304).

126321447168 is an abundant number, since it is smaller than the sum of its proper divisors (290222925440).

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

126321447168 is a wasteful number, since it uses less digits than its factorization.

126321447168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5612 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 126321447168 in words is "one hundred twenty-six billion, three hundred twenty-one million, four hundred forty-seven thousand, one hundred sixty-eight".