168071894630400 has 384 divisors, whose sum is σ = 557504987776560. Its totient is φ = 44677579407360.

The previous prime is 168071894630359. The next prime is 168071894630401. The reversal of 168071894630400 is 4036498170861.

168071894630400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×168071894630400³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168071894630401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778951332 + ... + 779167068.

Almost surely, 2^{168071894630400} is an apocalyptic number.

168071894630400 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 168071894630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278752493888280).

168071894630400 is an abundant number, since it is smaller than the sum of its proper divisors (389433093146160).

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

168071894630400 is an equidigital number, since it uses as much as digits as its factorization.

168071894630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216097 (or 216064 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 168071894630400 in words is "one hundred sixty-eight trillion, seventy-one billion, eight hundred ninety-four million, six hundred thirty thousand, four hundred".