13785470468641 has 9 divisors (see below), whose sum is σ = 13840277150899. Its totient is φ = 13730880008704.

The previous prime is 13785470468611. The next prime is 13785470468677. The reversal of 13785470468641 is 14686407458731.

The square root of 13785470468641 is 3712879.

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., 13571745480225 + 213724988416 = 3683985^2 + 462304^2 .

It is not a de Polignac number, because 13785470468641 - 2³⁷ = 13648031515169 is a prime.

It is a super-2 number, since 2×13785470468641² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13785470468611) 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, 954202680 + ... + 954217126.

Almost surely, 2^{13785470468641} is an apocalyptic number.

13785470468641 is the 3712879-th square number.

13785470468641 is the 1856440-th centered octagonal number.

It is an amenable number.

13785470468641 is a deficient number, since it is larger than the sum of its proper divisors (54806682258).

13785470468641 is an frugal number, since it uses more digits than its factorization.

13785470468641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29408 (or 14704 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 64.

Multiplying 13785470468641 by its sum of digits (64), we get a square (882270109993024 = 29703032²).

The spelling of 13785470468641 in words is "thirteen trillion, seven hundred eighty-five billion, four hundred seventy million, four hundred sixty-eight thousand, six hundred forty-one".