14806106920800 has 576 divisors, whose sum is σ = 57713441103360. Its totient is φ = 3641701386240.

The previous prime is 14806106920799. The next prime is 14806106920807. The reversal of 14806106920800 is 802960160841.

14806106920800 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 610 + 6 + 9 + 20 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×14806106920800³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14806106920807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366985429 + ... + 367025771.

It is an arithmetic number, because the mean of its divisors is an integer number (100196946360).

Almost surely, 2^{14806106920800} is an apocalyptic number.

14806106920800 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 14806106920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28856720551680).

14806106920800 is an abundant number, since it is smaller than the sum of its proper divisors (42907334182560).

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

14806106920800 is a wasteful number, since it uses less digits than its factorization.

14806106920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41692 (or 41673 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 14806106920800 in words is "fourteen trillion, eight hundred six billion, one hundred six million, nine hundred twenty thousand, eight hundred".