14093226806400 has 960 divisors, whose sum is σ = 60650069040000. Its totient is φ = 3221288663040.

The previous prime is 14093226806383. The next prime is 14093226806471. The reversal of 14093226806400 is 460862239041.

14093226806400 is a `hidden beast` number, since 14 + 0 + 9 + 3 + 226 + 8 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88826341 + ... + 88984859.

It is an arithmetic number, because the mean of its divisors is an integer number (63177155250).

Almost surely, 2^{14093226806400} is an apocalyptic number.

14093226806400 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 14093226806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30325034520000).

14093226806400 is an abundant number, since it is smaller than the sum of its proper divisors (46556842233600).

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

14093226806400 is an equidigital number, since it uses as much as digits as its factorization.

14093226806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158576 (or 158536 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14093226806400 in words is "fourteen trillion, ninety-three billion, two hundred twenty-six million, eight hundred six thousand, four hundred".