14088161696400 has 945 divisors, whose sum is σ = 54947390582617. Its totient is φ = 3342645715200.

The previous prime is 14088161696387. The next prime is 14088161696449. The reversal of 14088161696400 is 469616188041.

The square root of 14088161696400 is 3753420.

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

14088161696400 is a `hidden beast` number, since 1 + 40 + 8 + 81 + 61 + 69 + 6 + 400 = 666.

14088161696400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5071738210704 + 9016423485696 = 2252052^2 + 3002736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 299748121177 + ... + 299748121223.

Almost surely, 2^{14088161696400} is an apocalyptic number.

14088161696400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14088161696400 is the 3753420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14088161696400

14088161696400 is an abundant number, since it is smaller than the sum of its proper divisors (40859228886217).

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

14088161696400 is an frugal number, since it uses more digits than its factorization.

14088161696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 14088161696400 in words is "fourteen trillion, eighty-eight billion, one hundred sixty-one million, six hundred ninety-six thousand, four hundred".