100614168468 has 108 divisors (see below), whose sum is σ = 288108580032. Its totient is φ = 30489054480.

The previous prime is 100614168437. The next prime is 100614168491. The reversal of 100614168468 is 864861416001.

100614168468 is a `hidden beast` number, since 10 + 0 + 6 + 14 + 168 + 468 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114421 + ... + 462947.

Almost surely, 2^100614168468 is an apocalyptic number.

100614168468 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 100614168468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144054290016).

100614168468 is an abundant number, since it is smaller than the sum of its proper divisors (187494411564).

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

100614168468 is an equidigital number, since it uses as much as digits as its factorization.

100614168468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348566 (or 348543 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 100614168468 in words is "one hundred billion, six hundred fourteen million, one hundred sixty-eight thousand, four hundred sixty-eight".