163966353408000 has 2944 divisors, whose sum is σ = 721103448199680. Its totient is φ = 36691771392000.

The previous prime is 163966353407993. The next prime is 163966353408083. The reversal of 163966353408000 is 804353669361.

163966353408000 is a `hidden beast` number, since 16 + 3 + 96 + 6 + 3 + 534 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12612796415994 + ... + 12612796416006.

Almost surely, 2^{163966353408000} is an apocalyptic number.

163966353408000 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 163966353408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360551724099840).

163966353408000 is an abundant number, since it is smaller than the sum of its proper divisors (557137094791680).

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

163966353408000 is an frugal number, since it uses more digits than its factorization.

163966353408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 163966353408000 in words is "one hundred sixty-three trillion, nine hundred sixty-six billion, three hundred fifty-three million, four hundred eight thousand".