13625488977984 has 189 divisors, whose sum is σ = 42293904610269. Its totient is φ = 4192103784960.

The previous prime is 13625488977977. The next prime is 13625488978037. The reversal of 13625488977984 is 48977988452631.

The square root of 13625488977984 is 3691272.

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

13625488977984 is a `hidden beast` number, since 1 + 3 + 62 + 5 + 488 + 9 + 7 + 79 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2015604878400 + 11609884099584 = 1419720^2 + 3407328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1151670949 + ... + 1151682779.

Almost surely, 2^{13625488977984} is an apocalyptic number.

13625488977984 is the 3691272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13625488977984

13625488977984 is an abundant number, since it is smaller than the sum of its proper divisors (28668415632285).

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

13625488977984 is an frugal number, since it uses more digits than its factorization.

13625488977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23706 (or 11849 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 13625488977984 in words is "thirteen trillion, six hundred twenty-five billion, four hundred eighty-eight million, nine hundred seventy-seven thousand, nine hundred eighty-four".