48765501232900 has 81 divisors (see below), whose sum is σ = 106148707108479. Its totient is φ = 19446005050560.

The previous prime is 48765501232801. The next prime is 48765501232927. The reversal of 48765501232900 is 923210556784.

The square root of 48765501232900 is 6983230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49121629956 + 48716379602944 = 221634^2 + 6979712^2 .

It is a super-2 number, since 2×48765501232900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27723422221 + ... + 27723423979.

It is a 3-persistent number, because k⋅48765501232900 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{48765501232900} is an apocalyptic number.

48765501232900 is the 6983230-th square number.

It is an amenable number.

48765501232900 is an abundant number, since it is smaller than the sum of its proper divisors (57383205875579).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48765501232900 is an frugal number, since it uses more digits than its factorization.

48765501232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 48765501232900 in words is "forty-eight trillion, seven hundred sixty-five billion, five hundred one million, two hundred thirty-two thousand, nine hundred".