10114594319025 has 135 divisors (see below), whose sum is σ = 21139383883371. Its totient is φ = 4622745949920.

The previous prime is 10114594318991. The next prime is 10114594319051. The reversal of 10114594319025 is 52091349541101.

The square root of 10114594319025 is 3180345.

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

10114594319025 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 594 + 31 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3641253954849 + 6473340364176 = 1908207^2 + 2544276^2 .

It is not a de Polignac number, because 10114594319025 - 2⁷ = 10114594318897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 134 ways as a sum of consecutive naturals, for example, 2337551412 + ... + 2337555738.

Almost surely, 2^{10114594319025} is an apocalyptic number.

10114594319025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10114594319025 is the 3180345-th square number.

10114594319025 is the 1590173-rd centered octagonal number.

It is an amenable number.

10114594319025 is an abundant number, since it is smaller than the sum of its proper divisors (11024789564346).

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

10114594319025 is an frugal number, since it uses more digits than its factorization.

10114594319025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10114594319025 in words is "ten trillion, one hundred fourteen billion, five hundred ninety-four million, three hundred nineteen thousand, twenty-five".