11496473516025 has 81 divisors (see below), whose sum is σ = 21734089496301. Its totient is φ = 5808256260480.

The previous prime is 11496473515999. The next prime is 11496473516071. The reversal of 11496473516025 is 52061537469411.

The square root of 11496473516025 is 3390645.

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

11496473516025 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 6 + 473 + 5 + 160 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3349262349801 + 8147211166224 = 1830099^2 + 2854332^2 .

It is not a de Polignac number, because 11496473516025 - 2²⁹ = 11495936645113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 966327877 + ... + 966339773.

Almost surely, 2^{11496473516025} is an apocalyptic number.

11496473516025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11496473516025 is the 3390645-th square number.

11496473516025 is the 1695323-rd centered octagonal number.

It is an amenable number.

11496473516025 is a deficient number, since it is larger than the sum of its proper divisors (10237615980276).

11496473516025 is an frugal number, since it uses more digits than its factorization.

11496473516025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23848 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 11496473516025 in words is "eleven trillion, four hundred ninety-six billion, four hundred seventy-three million, five hundred sixteen thousand, twenty-five".