248347375461 has 80 divisors (see below), whose sum is σ = 383285746800. Its totient is φ = 160174789632.

The previous prime is 248347375453. The next prime is 248347375477. The reversal of 248347375461 is 164573743842.

248347375461 is a `hidden beast` number, since 2 + 48 + 3 + 4 + 73 + 75 + 461 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9563666436 + 238783709025 = 97794^2 + 488655^2 .

It is not a de Polignac number, because 248347375461 - 2³ = 248347375453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 248347375398 and 248347375407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248347375361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194476555 + ... + 194477831.

It is an arithmetic number, because the mean of its divisors is an integer number (4791071835).

Almost surely, 2^248347375461 is an apocalyptic number.

It is an amenable number.

248347375461 is a deficient number, since it is larger than the sum of its proper divisors (134938371339).

248347375461 is a wasteful number, since it uses less digits than its factorization.

248347375461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1931 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 248347375461 in words is "two hundred forty-eight billion, three hundred forty-seven million, three hundred seventy-five thousand, four hundred sixty-one".