168748338844800 has 2304 divisors, whose sum is σ = 752107129562880. Its totient is φ = 35437481164800.

The previous prime is 168748338844781. The next prime is 168748338844807. The reversal of 168748338844800 is 8448833847861.

168748338844800 is a `hidden beast` number, since 1 + 6 + 8 + 74 + 8 + 33 + 88 + 448 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (168748338844807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5020312794 + ... + 5020346406.

It is an arithmetic number, because the mean of its divisors is an integer number (326435386095).

Almost surely, 2^{168748338844800} is an apocalyptic number.

168748338844800 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 168748338844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376053564781440).

168748338844800 is an abundant number, since it is smaller than the sum of its proper divisors (583358790718080).

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

168748338844800 is a wasteful number, since it uses less digits than its factorization.

168748338844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33743 (or 33723 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 168748338844800 in words is "one hundred sixty-eight trillion, seven hundred forty-eight billion, three hundred thirty-eight million, eight hundred forty-four thousand, eight hundred".