163964110464 has 1536 divisors, whose sum is σ = 663075072000. Its totient is φ = 39341998080.

The previous prime is 163964110459. The next prime is 163964110469. The reversal of 163964110464 is 464011469361.

163964110464 is a `hidden beast` number, since 1 + 63 + 96 + 41 + 1 + 0 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (163964110459) and next prime (163964110469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163964110469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1842293332 + ... + 1842293420.

It is an arithmetic number, because the mean of its divisors is an integer number (431689500).

Almost surely, 2^163964110464 is an apocalyptic number.

163964110464 is a gapful number since it is divisible by the number (14) 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 163964110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331537536000).

163964110464 is an abundant number, since it is smaller than the sum of its proper divisors (499110961536).

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

163964110464 is a wasteful number, since it uses less digits than its factorization.

163964110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 163964110464 in words is "one hundred sixty-three billion, nine hundred sixty-four million, one hundred ten thousand, four hundred sixty-four".