248088134745 has 64 divisors (see below), whose sum is σ = 481688064000. Its totient is φ = 120148297920.

The previous prime is 248088134699. The next prime is 248088134821. The reversal of 248088134745 is 547431880842.

248088134745 is a `hidden beast` number, since 2 + 4 + 80 + 88 + 13 + 474 + 5 = 666.

It is not a de Polignac number, because 248088134745 - 2⁶ = 248088134681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 248088134691 and 248088134700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216656 + ... + 1405854.

It is an arithmetic number, because the mean of its divisors is an integer number (7526376000).

Almost surely, 2^248088134745 is an apocalyptic number.

It is an amenable number.

248088134745 is a deficient number, since it is larger than the sum of its proper divisors (233599929255).

248088134745 is a wasteful number, since it uses less digits than its factorization.

248088134745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190107 (or 190101 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 248088134745 in words is "two hundred forty-eight billion, eighty-eight million, one hundred thirty-four thousand, seven hundred forty-five".