11874399105625 has 225 divisors, whose sum is σ = 18114476665857. Its totient is φ = 7780622976000.

The previous prime is 11874399105619. The next prime is 11874399105637. The reversal of 11874399105625 is 52650199347811.

The square root of 11874399105625 is 3445925.

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 10766188128969 + 1108210976656 = 3281187^2 + 1052716^2 .

It is not a de Polignac number, because 11874399105625 - 2⁷ = 11874399105497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 122416485577 + ... + 122416485673.

It is a 1-persistent number, because it is pandigital, but 2⋅11874399105625 = 23748798211250 is not.

Almost surely, 2^{11874399105625} is an apocalyptic number.

11874399105625 is the 3445925-th square number.

11874399105625 is the 1722963-rd centered octagonal number.

It is an amenable number.

11874399105625 is a deficient number, since it is larger than the sum of its proper divisors (6240077560232).

11874399105625 is an frugal number, since it uses more digits than its factorization.

11874399105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 11874399105625 in words is "eleven trillion, eight hundred seventy-four billion, three hundred ninety-nine million, one hundred five thousand, six hundred twenty-five".