14977828814400 has 189 divisors, whose sum is σ = 53236390727793. Its totient is φ = 3993963840000.

The previous prime is 14977828814369. The next prime is 14977828814407. The reversal of 14977828814400 is 441882877941.

The square root of 14977828814400 is 3870120.

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

14977828814400 is a `hidden beast` number, since 1 + 4 + 9 + 77 + 82 + 8 + 81 + 4 + 400 = 666.

14977828814400 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., 5392018373184 + 9585810441216 = 2322072^2 + 3096096^2 .

It is not an unprimeable number, because it can be changed into a prime (14977828814407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 464398275 + ... + 464430525.

Almost surely, 2^{14977828814400} is an apocalyptic number.

14977828814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14977828814400 is the 3870120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14977828814400

14977828814400 is an abundant number, since it is smaller than the sum of its proper divisors (38258561913393).

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

14977828814400 is an frugal number, since it uses more digits than its factorization.

14977828814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64530 (or 32261 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 14977828814400 in words is "fourteen trillion, nine hundred seventy-seven billion, eight hundred twenty-eight million, eight hundred fourteen thousand, four hundred".