11809704075625 has 45 divisors (see below), whose sum is σ = 14915925336169. Its totient is φ = 9347348000000.

The previous prime is 11809704075613. The next prime is 11809704075707. The reversal of 11809704075625 is 52657040790811.

The square root of 11809704075625 is 3436525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 11769654460249 + 40049615376 = 3430693^2 + 200124^2 .

It is not a de Polignac number, because 11809704075625 - 2¹¹ = 11809704073577 is a prime.

It is a super-2 number, since 2×11809704075625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8677224945 + ... + 8677226305.

Almost surely, 2^{11809704075625} is an apocalyptic number.

11809704075625 is the 3436525-th square number.

11809704075625 is the 1718263-rd centered octagonal number.

It is an amenable number.

11809704075625 is a deficient number, since it is larger than the sum of its proper divisors (3106221260544).

11809704075625 is an frugal number, since it uses more digits than its factorization.

11809704075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 11809704075625 in words is "eleven trillion, eight hundred nine billion, seven hundred four million, seventy-five thousand, six hundred twenty-five".