168845264640 has 1008 divisors, whose sum is σ = 675589420800. Its totient is φ = 40131624960.

The previous prime is 168845264639. The next prime is 168845264669. The reversal of 168845264640 is 46462548861.

168845264640 is a `hidden beast` number, since 16 + 88 + 452 + 64 + 6 + 40 = 666.

168845264640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 376047136 + ... + 376047584.

It is an arithmetic number, because the mean of its divisors is an integer number (670227600).

Almost surely, 2^168845264640 is an apocalyptic number.

168845264640 is a gapful number since it is divisible by the number (10) 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 168845264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337794710400).

168845264640 is an abundant number, since it is smaller than the sum of its proper divisors (506744156160).

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

168845264640 is an equidigital number, since it uses as much as digits as its factorization.

168845264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 168845264640 in words is "one hundred sixty-eight billion, eight hundred forty-five million, two hundred sixty-four thousand, six hundred forty".