248916177225 has 45 divisors (see below), whose sum is σ = 461120396407. Its totient is φ = 132743320560.

The previous prime is 248916177199. The next prime is 248916177259. The reversal of 248916177225 is 522771619842.

The square root of 248916177225 is 498915.

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

248916177225 is a `hidden beast` number, since 248 + 9 + 1 + 6 + 177 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89609823801 + 159306353424 = 299349^2 + 399132^2 .

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

It is not a de Polignac number, because 248916177225 - 2⁹ = 248916176713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22445632 + ... + 22456718.

Almost surely, 2^248916177225 is an apocalyptic number.

248916177225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248916177225 is the 498915-th square number.

248916177225 is the 249458-th centered octagonal number.

It is an amenable number.

248916177225 is a deficient number, since it is larger than the sum of its proper divisors (212204219182).

248916177225 is an frugal number, since it uses more digits than its factorization.

248916177225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22196 (or 11095 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 248916177225 in words is "two hundred forty-eight billion, nine hundred sixteen million, one hundred seventy-seven thousand, two hundred twenty-five".