14253206446080 has 3136 divisors, whose sum is σ = 64016879189760. Its totient is φ = 2972033482752.

The previous prime is 14253206446067. The next prime is 14253206446147. The reversal of 14253206446080 is 8064460235241.

14253206446080 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 32 + 0 + 6 + 4 + 4 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 146940272592 + ... + 146940272688.

It is an arithmetic number, because the mean of its divisors is an integer number (20413545660).

Almost surely, 2^{14253206446080} is an apocalyptic number.

14253206446080 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 14253206446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32008439594880).

14253206446080 is an abundant number, since it is smaller than the sum of its proper divisors (49763672743680).

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

14253206446080 is an frugal number, since it uses more digits than its factorization.

14253206446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 14253206446080 in words is "fourteen trillion, two hundred fifty-three billion, two hundred six million, four hundred forty-six thousand, eighty".