948140375625 has 45 divisors (see below), whose sum is σ = 1711504134769. Its totient is φ = 505635918000.

The previous prime is 948140375599. The next prime is 948140375647. The reversal of 948140375625 is 526573041849.

It is a happy number.

The square root of 948140375625 is 973725.

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

948140375625 is a `hidden beast` number, since 9 + 4 + 8 + 1 + 4 + 0 + 3 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74334205449 + 873806170176 = 272643^2 + 934776^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 948140375625 - 2¹¹ = 948140373577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73022884 + ... + 73035866.

It is a 1-persistent number, because it is pandigital, but 2⋅948140375625 = 1896280751250 is not.

Almost surely, 2^948140375625 is an apocalyptic number.

948140375625 is the 973725-th square number.

948140375625 is the 486863-rd centered octagonal number.

It is an amenable number.

948140375625 is a deficient number, since it is larger than the sum of its proper divisors (763363759144).

948140375625 is an frugal number, since it uses more digits than its factorization.

948140375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25992 (or 12991 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 948140375625 in words is "nine hundred forty-eight billion, one hundred forty million, three hundred seventy-five thousand, six hundred twenty-five".