248738788964 has 48 divisors (see below), whose sum is σ = 454281718128. Its totient is φ = 119067107328.

The previous prime is 248738788877. The next prime is 248738788979. The reversal of 248738788964 is 469887837842.

It can be written as a sum of positive squares in 8 ways, for example, as 95074788964 + 153664000000 = 308342^2 + 392000^2 .

It is a Harshad number since it is a multiple of its sum of digits (74).

It is a junction number, because it is equal to n+sod(n) for n = 248738788891 and 248738788900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433512 + ... + 2533664.

It is an arithmetic number, because the mean of its divisors is an integer number (9464202461).

Almost surely, 2^248738788964 is an apocalyptic number.

It is an amenable number.

248738788964 is a deficient number, since it is larger than the sum of its proper divisors (205542929164).

248738788964 is a wasteful number, since it uses less digits than its factorization.

248738788964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100464 (or 100462 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 74.

The spelling of 248738788964 in words is "two hundred forty-eight billion, seven hundred thirty-eight million, seven hundred eighty-eight thousand, nine hundred sixty-four".