49680294980625 has 45 divisors (see below), whose sum is σ = 89672782612413. Its totient is φ = 26495875386000.

The previous prime is 49680294980623. The next prime is 49680294980639. The reversal of 49680294980625 is 52608949208694.

The square root of 49680294980625 is 7048425.

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

49680294980625 is a `hidden beast` number, since 4 + 96 + 8 + 0 + 29 + 498 + 0 + 6 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3894935126481 + 45785359854144 = 1973559^2 + 6766488^2 .

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

It is not a de Polignac number, because 49680294980625 - 2¹ = 49680294980623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49680294980623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 528584886 + ... + 528678864.

Almost surely, 2^{49680294980625} is an apocalyptic number.

49680294980625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49680294980625 is the 7048425-th square number.

49680294980625 is the 3524213-rd centered octagonal number.

It is an amenable number.

49680294980625 is a deficient number, since it is larger than the sum of its proper divisors (39992487631788).

49680294980625 is an frugal number, since it uses more digits than its factorization.

49680294980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187984 (or 93987 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 49680294980625 in words is "forty-nine trillion, six hundred eighty billion, two hundred ninety-four million, nine hundred eighty thousand, six hundred twenty-five".