101688447168 has 672 divisors, whose sum is σ = 384764889600. Its totient is φ = 26397342720.

The previous prime is 101688447151. The next prime is 101688447169. The reversal of 101688447168 is 861744886101.

101688447168 is a `hidden beast` number, since 1 + 0 + 168 + 8 + 4 + 471 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101688447169) 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, 58676830 + ... + 58678562.

It is an arithmetic number, because the mean of its divisors is an integer number (572566800).

Almost surely, 2^101688447168 is an apocalyptic number.

101688447168 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 101688447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192382444800).

101688447168 is an abundant number, since it is smaller than the sum of its proper divisors (283076442432).

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

101688447168 is an equidigital number, since it uses as much as digits as its factorization.

101688447168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 101688447168 in words is "one hundred one billion, six hundred eighty-eight million, four hundred forty-seven thousand, one hundred sixty-eight".