48386283800625 has 135 divisors (see below), whose sum is σ = 88029968345319. Its totient is φ = 25602623856000.

The previous prime is 48386283800597. The next prime is 48386283800627. The reversal of 48386283800625 is 52600838268384.

The square root of 48386283800625 is 6956025.

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

48386283800625 is a `hidden beast` number, since 48 + 386 + 2 + 83 + 80 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 47519418525489 + 866865275136 = 6893433^2 + 931056^2 .

It is a de Polignac number, because none of the positive numbers 2^k-48386283800625 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48386283800627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 85037405341 + ... + 85037405909.

Almost surely, 2^{48386283800625} is an apocalyptic number.

48386283800625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48386283800625 is the 6956025-th square number.

48386283800625 is the 3478013-rd centered octagonal number.

It is an amenable number.

48386283800625 is a deficient number, since it is larger than the sum of its proper divisors (39643684544694).

48386283800625 is an frugal number, since it uses more digits than its factorization.

48386283800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 48386283800625 in words is "forty-eight trillion, three hundred eighty-six billion, two hundred eighty-three million, eight hundred thousand, six hundred twenty-five".