163264140000 has 720 divisors, whose sum is σ = 644697068400. Its totient is φ = 40165632000.

The previous prime is 163264139981. The next prime is 163264140001. The reversal of 163264140000 is 41462361.

163264140000 is a `hidden beast` number, since 16 + 3 + 2 + 641 + 4 + 0 + 0 + 0 + 0 = 666.

163264140000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163264140001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 91259106 + ... + 91260894.

It is an arithmetic number, because the mean of its divisors is an integer number (895412595).

Almost surely, 2^163264140000 is an apocalyptic number.

163264140000 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 163264140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322348534200).

163264140000 is an abundant number, since it is smaller than the sum of its proper divisors (481432928400).

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

163264140000 is a wasteful number, since it uses less digits than its factorization.

163264140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 163264140000 in words is "one hundred sixty-three billion, two hundred sixty-four million, one hundred forty thousand".