163880743104000 has 5120 divisors, whose sum is σ = 724792010342400. Its totient is φ = 36118462464000.

The previous prime is 163880743103981. The next prime is 163880743104047. The reversal of 163880743104000 is 401347088361.

163880743104000 is a `hidden beast` number, since 1 + 638 + 8 + 0 + 7 + 4 + 3 + 1 + 0 + 4 + 0 + 0 + 0 = 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 511 ways as a sum of consecutive naturals, for example, 1290399551937 + ... + 1290399552063.

It is an arithmetic number, because the mean of its divisors is an integer number (141560939520).

Almost surely, 2^{163880743104000} is an apocalyptic number.

163880743104000 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 163880743104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362396005171200).

163880743104000 is an abundant number, since it is smaller than the sum of its proper divisors (560911267238400).

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

163880743104000 is a wasteful number, since it uses less digits than its factorization.

163880743104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 163880743104000 in words is "one hundred sixty-three trillion, eight hundred eighty billion, seven hundred forty-three million, one hundred four thousand".