248708671849 has 9 divisors (see below), whose sum is σ = 273380024631. Its totient is φ = 226093805520.

The previous prime is 248708671831. The next prime is 248708671853. The reversal of 248708671849 is 948176807842.

The square root of 248708671849 is 498707.

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

It can be written as a sum of positive squares in only one way, i.e., 173759754025 + 74948917824 = 416845^2 + 273768^2 .

It is a de Polignac number, because none of the positive numbers 2^k-248708671849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248708671649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5463109 + ... + 5508445.

Almost surely, 2^248708671849 is an apocalyptic number.

248708671849 is the 498707-th square number.

248708671849 is the 249354-th centered octagonal number.

It is an amenable number.

248708671849 is a deficient number, since it is larger than the sum of its proper divisors (24671352782).

248708671849 is an frugal number, since it uses more digits than its factorization.

248708671849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90696 (or 45348 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 64.

Multiplying 248708671849 by its sum of digits (64), we get a square (15917354998336 = 3989656²).

The spelling of 248708671849 in words is "two hundred forty-eight billion, seven hundred eight million, six hundred seventy-one thousand, eight hundred forty-nine".