13845287556 has 63 divisors (see below), whose sum is σ = 36343940871. Its totient is φ = 4612977864.

The previous prime is 13845287551. The next prime is 13845287579. The reversal of 13845287556 is 65578254831.

The square root of 13845287556 is 117666.

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

13845287556 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 5 + 2 + 87 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13845287551) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6352875 + ... + 6355053.

Almost surely, 2^13845287556 is an apocalyptic number.

13845287556 is the 117666-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13845287556

13845287556 is an abundant number, since it is smaller than the sum of its proper divisors (22498653315).

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

13845287556 is an frugal number, since it uses more digits than its factorization.

13845287556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 2184 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

It can be divided in two parts, 13845 and 287556, that added together give a square (301401 = 549²).

The spelling of 13845287556 in words is "thirteen billion, eight hundred forty-five million, two hundred eighty-seven thousand, five hundred fifty-six".