14216357100 has 288 divisors, whose sum is σ = 47776442112. Its totient is φ = 3225600000.

The previous prime is 14216357087. The next prime is 14216357147. The reversal of 14216357100 is 175361241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11836500 + ... + 11837700.

It is an arithmetic number, because the mean of its divisors is an integer number (165890424).

Almost surely, 2^14216357100 is an apocalyptic number.

14216357100 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 14216357100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888221056).

14216357100 is an abundant number, since it is smaller than the sum of its proper divisors (33560085012).

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

14216357100 is a wasteful number, since it uses less digits than its factorization.

14216357100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 14216357100 in words is "fourteen billion, two hundred sixteen million, three hundred fifty-seven thousand, one hundred".