14979491198100 has 504 divisors, whose sum is σ = 57256259968992. Its totient is φ = 3352051641600.

The previous prime is 14979491198081. The next prime is 14979491198117. The reversal of 14979491198100 is 189119497941.

14979491198100 is a `hidden beast` number, since 1 + 49 + 7 + 9 + 491 + 1 + 98 + 10 + 0 = 666.

It is a super-2 number, since 2×14979491198100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9706239 + ... + 11143161.

Almost surely, 2^{14979491198100} is an apocalyptic number.

14979491198100 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 14979491198100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28628129984496).

14979491198100 is an abundant number, since it is smaller than the sum of its proper divisors (42276768770892).

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

14979491198100 is a wasteful number, since it uses less digits than its factorization.

14979491198100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436979 (or 1436957 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 63.

The spelling of 14979491198100 in words is "fourteen trillion, nine hundred seventy-nine billion, four hundred ninety-one million, one hundred ninety-eight thousand, one hundred".