48646788825625 has 45 divisors (see below), whose sum is σ = 61213132206369. Its totient is φ = 38647788192000.

The previous prime is 48646788825619. The next prime is 48646788825631. The reversal of 48646788825625 is 52652888764684.

The square root of 48646788825625 is 6974725.

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

It is an interprime number because it is at equal distance from previous prime (48646788825619) and next prime (48646788825631).

It can be written as a sum of positive squares in 22 ways, for example, as 37858953679369 + 10787835146256 = 6152963^2 + 3284484^2 .

It is not a de Polignac number, because 48646788825625 - 2³³ = 48638198891033 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, 27375794737 + ... + 27375796513.

Almost surely, 2^{48646788825625} is an apocalyptic number.

48646788825625 is the 6974725-th square number.

48646788825625 is the 3487363-rd centered octagonal number.

It is an amenable number.

48646788825625 is a deficient number, since it is larger than the sum of its proper divisors (12566343380744).

48646788825625 is an frugal number, since it uses more digits than its factorization.

48646788825625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 1939 counting only the distinct ones).

The product of its digits is 9909043200, while the sum is 79.

The spelling of 48646788825625 in words is "forty-eight trillion, six hundred forty-six billion, seven hundred eighty-eight million, eight hundred twenty-five thousand, six hundred twenty-five".