13773020284804 has 81 divisors (see below), whose sum is σ = 28146072876901. Its totient is φ = 5891607399040.

The previous prime is 13773020284781. The next prime is 13773020284819. The reversal of 13773020284804 is 40848202037731.

The square root of 13773020284804 is 3711202.

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., 10722939668100 + 3050080616704 = 3274590^2 + 1746448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1387984587 + ... + 1387994509.

Almost surely, 2^{13773020284804} is an apocalyptic number.

13773020284804 is the 3711202-nd square number.

It is an amenable number.

13773020284804 is an abundant number, since it is smaller than the sum of its proper divisors (14373052592097).

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

13773020284804 is an frugal number, since it uses more digits than its factorization.

13773020284804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19906 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

Multiplying 13773020284804 by its sum of digits (49), we get a square (674877993955396 = 25978414²).

The spelling of 13773020284804 in words is "thirteen trillion, seven hundred seventy-three billion, twenty million, two hundred eighty-four thousand, eight hundred four".