100416168468 has 216 divisors, whose sum is σ = 319497796800. Its totient is φ = 25834360320.

The previous prime is 100416168431. The next prime is 100416168473. The reversal of 100416168468 is 864861614001.

100416168468 is a `hidden beast` number, since 10 + 0 + 4 + 16 + 168 + 468 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32932608 + ... + 32935656.

Almost surely, 2^100416168468 is an apocalyptic number.

100416168468 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 100416168468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159748898400).

100416168468 is an abundant number, since it is smaller than the sum of its proper divisors (219081628332).

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

100416168468 is a wasteful number, since it uses less digits than its factorization.

100416168468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3181 counting only the distinct ones).

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

The spelling of 100416168468 in words is "one hundred billion, four hundred sixteen million, one hundred sixty-eight thousand, four hundred sixty-eight".