14135466100 has 216 divisors, whose sum is σ = 37849140000. Its totient is φ = 4556079360.

The previous prime is 14135466091. The next prime is 14135466161. The reversal of 14135466100 is 166453141.

It is a super-2 number, since 2×14135466100² (a number of 21 digits) contains 22 as substring.

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, 13871391 + ... + 13872409.

It is an arithmetic number, because the mean of its divisors is an integer number (175227500).

Almost surely, 2^14135466100 is an apocalyptic number.

14135466100 is a gapful number since it is divisible by the number (10) 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 14135466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924570000).

14135466100 is an abundant number, since it is smaller than the sum of its proper divisors (23713673900).

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

14135466100 is a wasteful number, since it uses less digits than its factorization.

14135466100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 14135466100 in words is "fourteen billion, one hundred thirty-five million, four hundred sixty-six thousand, one hundred".