14873594956900 has 27 divisors (see below), whose sum is σ = 32275784745561. Its totient is φ = 5949422556240.

The previous prime is 14873594956841. The next prime is 14873594956901. The reversal of 14873594956900 is 965949537841.

The square root of 14873594956900 is 3856630.

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

It can be written as a sum of positive squares in only one way, i.e., 5354494184484 + 9519100772416 = 2313978^2 + 3085304^2 .

It is a super-2 number, since 2×14873594956900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14873594956900.

It is not an unprimeable number, because it can be changed into a prime (14873594956901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38373469 + ... + 38759131.

Almost surely, 2^{14873594956900} is an apocalyptic number.

14873594956900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14873594956900 is the 3856630-th square number.

It is an amenable number.

14873594956900 is an abundant number, since it is smaller than the sum of its proper divisors (17402189788661).

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

14873594956900 is an frugal number, since it uses more digits than its factorization.

14873594956900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771340 (or 385670 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 70.

The spelling of 14873594956900 in words is "fourteen trillion, eight hundred seventy-three billion, five hundred ninety-four million, nine hundred fifty-six thousand, nine hundred".