163981804320 has 576 divisors, whose sum is σ = 623985223680. Its totient is φ = 40536972288.

The previous prime is 163981804297. The next prime is 163981804331. The reversal of 163981804320 is 23408189361.

163981804320 is a `hidden beast` number, since 1 + 6 + 39 + 8 + 180 + 432 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34717479 + ... + 34722201.

It is an arithmetic number, because the mean of its divisors is an integer number (1083307680).

Almost surely, 2^163981804320 is an apocalyptic number.

163981804320 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 163981804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311992611840).

163981804320 is an abundant number, since it is smaller than the sum of its proper divisors (460003419360).

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

163981804320 is a wasteful number, since it uses less digits than its factorization.

163981804320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 16398180 and 4320, that added together give a square (16402500 = 4050²).

The spelling of 163981804320 in words is "one hundred sixty-three billion, nine hundred eighty-one million, eight hundred four thousand, three hundred twenty".