248741978661136 has 15 divisors (see below), whose sum is σ = 481937705885541. Its totient is φ = 124370957787456.

The previous prime is 248741978661131. The next prime is 248741978661179. The reversal of 248741978661136 is 631166879147842.

The square root of 248741978661136 is 15771556.

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., 24144998027536 + 224596980633600 = 4913756^2 + 14986560^2 .

It is a super-2 number, since 2×248741978661136² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248741978661131) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 61114780 + ... + 65057668.

Almost surely, 2^{248741978661136} is an apocalyptic number.

248741978661136 is the 15771556-th square number.

It is an amenable number.

248741978661136 is a deficient number, since it is larger than the sum of its proper divisors (233195727224405).

248741978661136 is an frugal number, since it uses more digits than its factorization.

248741978661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885786 (or 3942891 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 73.

The spelling of 248741978661136 in words is "two hundred forty-eight trillion, seven hundred forty-one billion, nine hundred seventy-eight million, six hundred sixty-one thousand, one hundred thirty-six".