168144995031552 has 5760 divisors, whose sum is σ = 716322552422400. Its totient is φ = 39109522636800.

The previous prime is 168144995031487. The next prime is 168144995031599. The reversal of 168144995031552 is 255130599441861.

168144995031552 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 4 + 49 + 9 + 5 + 0 + 31 + 552 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 168144995031552.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3910348721643 + ... + 3910348721685.

It is an arithmetic number, because the mean of its divisors is an integer number (124361554240).

Almost surely, 2^{168144995031552} is an apocalyptic number.

168144995031552 is a gapful number since it is divisible by the number (12) 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 168144995031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358161276211200).

168144995031552 is an abundant number, since it is smaller than the sum of its proper divisors (548177557390848).

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

168144995031552 is an equidigital number, since it uses as much as digits as its factorization.

168144995031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 168144995031552 in words is "one hundred sixty-eight trillion, one hundred forty-four billion, nine hundred ninety-five million, thirty-one thousand, five hundred fifty-two".