49653654561 has 99 divisors (see below), whose sum is σ = 87306494673. Its totient is φ = 28156925160.

The previous prime is 49653654551. The next prime is 49653654593. The reversal of 49653654561 is 16545635694.

The square root of 49653654561 is 222831.

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

49653654561 is a `hidden beast` number, since 4 + 9 + 6 + 5 + 36 + 545 + 61 = 666.

It is not a de Polignac number, because 49653654561 - 2⁵ = 49653654529 is a prime.

It is a super-2 number, since 2×49653654561² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49653654498 and 49653654507.

It is not an unprimeable number, because it can be changed into a prime (49653654551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 379035466 + ... + 379035596.

Almost surely, 2^49653654561 is an apocalyptic number.

49653654561 is the 222831-st square number.

49653654561 is the 111416-th centered octagonal number.

It is an amenable number.

49653654561 is a deficient number, since it is larger than the sum of its proper divisors (37652840112).

49653654561 is an frugal number, since it uses more digits than its factorization.

49653654561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 141 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 49653654561 in words is "forty-nine billion, six hundred fifty-three million, six hundred fifty-four thousand, five hundred sixty-one".