13974030446100 has 144 divisors (see below), whose sum is σ = 40665657439680. Its totient is φ = 3704840294400.

The previous prime is 13974030446083. The next prime is 13974030446119. The reversal of 13974030446100 is 164403047931.

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 47 ways as a sum of consecutive naturals, for example, 218199684 + ... + 218263716.

Almost surely, 2^{13974030446100} is an apocalyptic number.

13974030446100 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 13974030446100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332828719840).

13974030446100 is an abundant number, since it is smaller than the sum of its proper divisors (26691626993580).

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

13974030446100 is a wasteful number, since it uses less digits than its factorization.

13974030446100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68250 (or 68243 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 13974030446100 in words is "thirteen trillion, nine hundred seventy-four billion, thirty million, four hundred forty-six thousand, one hundred".