14891942100 has 288 divisors, whose sum is σ = 50715254016. Its totient is φ = 3303014400.

The previous prime is 14891942041. The next prime is 14891942123. The reversal of 14891942100 is 124919841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22127364 + ... + 22128036.

It is an arithmetic number, because the mean of its divisors is an integer number (176094632).

Almost surely, 2^14891942100 is an apocalyptic number.

14891942100 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 14891942100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25357627008).

14891942100 is an abundant number, since it is smaller than the sum of its proper divisors (35823311916).

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

14891942100 is a wasteful number, since it uses less digits than its factorization.

14891942100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 14891942100 in words is "fourteen billion, eight hundred ninety-one million, nine hundred forty-two thousand, one hundred".