14768495280400 has 45 divisors (see below), whose sum is σ = 35481494567311. Its totient is φ = 5907367368320.

The previous prime is 14768495280379. The next prime is 14768495280493. The reversal of 14768495280400 is 408259486741.

The square root of 14768495280400 is 3842980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2049971059984 + 12718524220416 = 1431772^2 + 3566304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76763526 + ... + 76955674.

Almost surely, 2^{14768495280400} is an apocalyptic number.

14768495280400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14768495280400 is the 3842980-th square number.

It is an amenable number.

14768495280400 is an abundant number, since it is smaller than the sum of its proper divisors (20712999286911).

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

14768495280400 is an frugal number, since it uses more digits than its factorization.

14768495280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384316 (or 192156 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 14768495280400 in words is "fourteen trillion, seven hundred sixty-eight billion, four hundred ninety-five million, two hundred eighty thousand, four hundred".