168436368100 has 729 divisors, whose sum is σ = 518707583793. Its totient is φ = 47279232000.

The previous prime is 168436368049. The next prime is 168436368109. The reversal of 168436368100 is 1863634861.

The square root of 168436368100 is 410410.

It is a perfect power (a square), and thus also a powerful number.

168436368100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 152644927204 + 15791440896 = 390698^2 + 125664^2 .

It is a super-2 number, since 2×168436368100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168436368109) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 4108204080 + ... + 4108204120.

Almost surely, 2^168436368100 is an apocalyptic number.

168436368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168436368100 is the 410410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168436368100

168436368100 is an abundant number, since it is smaller than the sum of its proper divisors (350271215693).

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

168436368100 is a wasteful number, since it uses less digits than its factorization.

168436368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 168436368100 in words is "one hundred sixty-eight billion, four hundred thirty-six million, three hundred sixty-eight thousand, one hundred".