168163254230400 has 4032 divisors, whose sum is σ = 779367904917840. Its totient is φ = 35401826304000.

The previous prime is 168163254230399. The next prime is 168163254230473. The reversal of 168163254230400 is 4032452361861.

168163254230400 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 6 + 3 + 2 + 5 + 4 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 73723477260 + ... + 73723479540.

Almost surely, 2^{168163254230400} is an apocalyptic number.

168163254230400 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 168163254230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389683952458920).

168163254230400 is an abundant number, since it is smaller than the sum of its proper divisors (611204650687440).

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

168163254230400 is a wasteful number, since it uses less digits than its factorization.

168163254230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 168163254230400 in words is "one hundred sixty-eight trillion, one hundred sixty-three billion, two hundred fifty-four million, two hundred thirty thousand, four hundred".