14793956100 has 432 divisors, whose sum is σ = 59753814400. Its totient is φ = 3073593600.

The previous prime is 14793956057. The next prime is 14793956117. The reversal of 14793956100 is 165939741.

14793956100 is a `hidden beast` number, since 14 + 79 + 3 + 9 + 561 + 0 + 0 = 666.

14793956100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14793956100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2283666 + ... + 2290134.

Almost surely, 2^14793956100 is an apocalyptic number.

14793956100 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 14793956100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29876907200).

14793956100 is an abundant number, since it is smaller than the sum of its proper divisors (44959858300).

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

14793956100 is a wasteful number, since it uses less digits than its factorization.

14793956100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 14793956100 in words is "fourteen billion, seven hundred ninety-three million, nine hundred fifty-six thousand, one hundred".