14045344352100 has 216 divisors, whose sum is σ = 44370110776992. Its totient is φ = 3716021836800.

The previous prime is 14045344351991. The next prime is 14045344352113. The reversal of 14045344352100 is 125344354041.

14045344352100 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 5 + 3 + 4 + 435 + 210 + 0 = 666.

14045344352100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 698311644 + ... + 698331756.

Almost surely, 2^{14045344352100} is an apocalyptic number.

14045344352100 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 14045344352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185055388496).

14045344352100 is an abundant number, since it is smaller than the sum of its proper divisors (30324766424892).

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

14045344352100 is a wasteful number, since it uses less digits than its factorization.

14045344352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26187 (or 26177 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 14045344352100 in words is "fourteen trillion, forty-five billion, three hundred forty-four million, three hundred fifty-two thousand, one hundred".