163981440000 has 1320 divisors, whose sum is σ = 698315217600. Its totient is φ = 37029888000.

The previous prime is 163981439989. The next prime is 163981440101. The reversal of 163981440000 is 44189361.

163981440000 is a `hidden beast` number, since 1 + 639 + 8 + 14 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1975679959 + ... + 1975680041.

It is an arithmetic number, because the mean of its divisors is an integer number (529026680).

Almost surely, 2^163981440000 is an apocalyptic number.

163981440000 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 163981440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349157608800).

163981440000 is an abundant number, since it is smaller than the sum of its proper divisors (534333777600).

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

163981440000 is an frugal number, since it uses more digits than its factorization.

163981440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 163981440000 in words is "one hundred sixty-three billion, nine hundred eighty-one million, four hundred forty thousand".