14749933868100 has 216 divisors, whose sum is σ = 47514561581760. Its totient is φ = 3824416477440.

The previous prime is 14749933868081. The next prime is 14749933868119. The reversal of 14749933868100 is 186833994741.

14749933868100 is a `hidden beast` number, since 1 + 4 + 7 + 499 + 3 + 38 + 6 + 8 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (14749933868081) and next prime (14749933868119).

It is a super-2 number, since 2×14749933868100² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 49234561 + ... + 49533239.

Almost surely, 2^{14749933868100} is an apocalyptic number.

14749933868100 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 14749933868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757280790880).

14749933868100 is an abundant number, since it is smaller than the sum of its proper divisors (32764627713660).

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

14749933868100 is a wasteful number, since it uses less digits than its factorization.

14749933868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300219 (or 300209 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 14749933868100 in words is "fourteen trillion, seven hundred forty-nine billion, nine hundred thirty-three million, eight hundred sixty-eight thousand, one hundred".