168969406551552 has 2880 divisors, whose sum is σ = 593796051763200. Its totient is φ = 47729580687360.

The previous prime is 168969406551509. The next prime is 168969406551559. The reversal of 168969406551552 is 255155604969861.

168969406551552 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 6 + 9 + 4 + 0 + 65 + 5 + 1 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168969406551559) 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 287 ways as a sum of consecutive naturals, for example, 2138853247449 + ... + 2138853247527.

It is an arithmetic number, because the mean of its divisors is an integer number (206179184640).

Almost surely, 2^{168969406551552} is an apocalyptic number.

168969406551552 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 168969406551552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296898025881600).

168969406551552 is an abundant number, since it is smaller than the sum of its proper divisors (424826645211648).

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

168969406551552 is an frugal number, since it uses more digits than its factorization.

168969406551552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 72.

The spelling of 168969406551552 in words is "one hundred sixty-eight trillion, nine hundred sixty-nine billion, four hundred six million, five hundred fifty-one thousand, five hundred fifty-two".