126571846968 has 256 divisors, whose sum is σ = 411505920000. Its totient is φ = 35298312192.

The previous prime is 126571846931. The next prime is 126571846991. The reversal of 126571846968 is 869648175621.

126571846968 is a `hidden beast` number, since 12 + 6 + 571 + 8 + 46 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15943096 + ... + 15951032.

It is an arithmetic number, because the mean of its divisors is an integer number (1607445000).

Almost surely, 2^126571846968 is an apocalyptic number.

126571846968 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 126571846968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960000).

126571846968 is an abundant number, since it is smaller than the sum of its proper divisors (284934073032).

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

126571846968 is a wasteful number, since it uses less digits than its factorization.

126571846968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8211 (or 8201 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 126571846968 in words is "one hundred twenty-six billion, five hundred seventy-one million, eight hundred forty-six thousand, nine hundred sixty-eight".