11132198885025 has 243 divisors, whose sum is σ = 22041684644889. Its totient is φ = 5369568209280.

The previous prime is 11132198885011. The next prime is 11132198885077. The reversal of 11132198885025 is 52058889123111.

The square root of 11132198885025 is 3336495.

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

11132198885025 is a `hidden beast` number, since 1 + 11 + 32 + 1 + 98 + 8 + 8 + 502 + 5 = 666.

11132198885025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 424539555489 + 10707659329536 = 651567^2 + 3272256^2 .

It is not a de Polignac number, because 11132198885025 - 2¹⁷ = 11132198753953 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 21870724471 + ... + 21870724979.

Almost surely, 2^{11132198885025} is an apocalyptic number.

11132198885025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11132198885025 is the 3336495-th square number.

11132198885025 is the 1668248-th centered octagonal number.

It is an amenable number.

11132198885025 is a deficient number, since it is larger than the sum of its proper divisors (10909485759864).

11132198885025 is an equidigital number, since it uses as much as digits as its factorization.

11132198885025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

It can be divided in two parts, 1113219 and 8885025, that added together give a square (9998244 = 3162²).

The spelling of 11132198885025 in words is "eleven trillion, one hundred thirty-two billion, one hundred ninety-eight million, eight hundred eighty-five thousand, twenty-five".