1138286279025 has 189 divisors, whose sum is σ = 2463936081201. Its totient is φ = 519898538880.

The previous prime is 1138286279017. The next prime is 1138286279063. The reversal of 1138286279025 is 5209726828311.

The square root of 1138286279025 is 1066905.

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

1138286279025 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 8 + 627 + 9 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396820623969 + 741465655056 = 629937^2 + 861084^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 1138286279025 - 2³ = 1138286279017 is a prime.

It is a super-3 number, since 3×1138286279025³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1008224661 + ... + 1008225789.

Almost surely, 2^{1138286279025} is an apocalyptic number.

1138286279025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1138286279025 is the 1066905-th square number.

1138286279025 is the 533453-rd centered octagonal number.

It is an amenable number.

1138286279025 is an abundant number, since it is smaller than the sum of its proper divisors (1325649802176).

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

1138286279025 is an frugal number, since it uses more digits than its factorization.

1138286279025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1138286279025 in words is "one trillion, one hundred thirty-eight billion, two hundred eighty-six million, two hundred seventy-nine thousand, twenty-five".