168225826488048 has 400 divisors, whose sum is σ = 586147171441920. Its totient is φ = 45502967503872.

The previous prime is 168225826488023. The next prime is 168225826488079. The reversal of 168225826488048 is 840884628522861.

168225826488048 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 25 + 82 + 6 + 488 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246662811 + ... + 247343877.

Almost surely, 2^{168225826488048} is an apocalyptic number.

168225826488048 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 168225826488048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293073585720960).

168225826488048 is an abundant number, since it is smaller than the sum of its proper divisors (417921344953872).

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

168225826488048 is a wasteful number, since it uses less digits than its factorization.

168225826488048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682546 (or 682531 counting only the distinct ones).

The product of its (nonzero) digits is 754974720, while the sum is 72.

The spelling of 168225826488048 in words is "one hundred sixty-eight trillion, two hundred twenty-five billion, eight hundred twenty-six million, four hundred eighty-eight thousand, forty-eight".