163629785088 has 1344 divisors, whose sum is σ = 652635809280. Its totient is φ = 38220595200.

The previous prime is 163629785087. The next prime is 163629785117. The reversal of 163629785088 is 880587926361.

163629785088 is a `hidden beast` number, since 1 + 6 + 36 + 2 + 97 + 8 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163629785087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3990970348 + ... + 3990970388.

It is an arithmetic number, because the mean of its divisors is an integer number (485592120).

Almost surely, 2^163629785088 is an apocalyptic number.

163629785088 is a gapful number since it is divisible by the number (18) 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 163629785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326317904640).

163629785088 is an abundant number, since it is smaller than the sum of its proper divisors (489006024192).

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

163629785088 is a wasteful number, since it uses less digits than its factorization.

163629785088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 163629785088 in words is "one hundred sixty-three billion, six hundred twenty-nine million, seven hundred eighty-five thousand, eighty-eight".