168126368256 has 1600 divisors, whose sum is σ = 701582238720. Its totient is φ = 38698352640.

The previous prime is 168126368251. The next prime is 168126368257. The reversal of 168126368256 is 652863621861.

168126368256 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 26 + 368 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (168126368251) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1031450031 + ... + 1031450193.

Almost surely, 2^168126368256 is an apocalyptic number.

168126368256 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 168126368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350791119360).

168126368256 is an abundant number, since it is smaller than the sum of its proper divisors (533455870464).

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

168126368256 is a wasteful number, since it uses less digits than its factorization.

168126368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 168126368256 in words is "one hundred sixty-eight billion, one hundred twenty-six million, three hundred sixty-eight thousand, two hundred fifty-six".