48802553569 has 81 divisors (see below), whose sum is σ = 66296550033. Its totient is φ = 35787906000.

The previous prime is 48802553549. The next prime is 48802553581. The reversal of 48802553569 is 96535520884.

The square root of 48802553569 is 220913.

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

It is not a de Polignac number, because 48802553569 - 2⁹ = 48802553057 is a prime.

It is a super-2 number, since 2×48802553569² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48802553509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 323195644 + ... + 323195794.

Almost surely, 2^48802553569 is an apocalyptic number.

48802553569 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48802553569 is the 220913-rd square number.

48802553569 is the 110457-th centered octagonal number.

It is an amenable number.

48802553569 is a deficient number, since it is larger than the sum of its proper divisors (17493996464).

48802553569 is a wasteful number, since it uses less digits than its factorization.

48802553569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 48802553569 in words is "forty-eight billion, eight hundred two million, five hundred fifty-three thousand, five hundred sixty-nine".