14591483214400 has 567 divisors, whose sum is σ = 38651326110579. Its totient is φ = 5421418168320.

The previous prime is 14591483214397. The next prime is 14591483214401. The reversal of 14591483214400 is 441238419541.

The square root of 14591483214400 is 3819880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 14590994273856 + 488940544 = 3819816^2 + 22112^2 .

It is a super-2 number, since 2×14591483214400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14591483214401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 163949249556 + ... + 163949249644.

Almost surely, 2^{14591483214400} is an apocalyptic number.

14591483214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14591483214400 is the 3819880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14591483214400

14591483214400 is an abundant number, since it is smaller than the sum of its proper divisors (24059842896179).

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

14591483214400 is an frugal number, since it uses more digits than its factorization.

14591483214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 14591483214400 in words is "fourteen trillion, five hundred ninety-one billion, four hundred eighty-three million, two hundred fourteen thousand, four hundred".