248053438926592 has 216 divisors, whose sum is σ = 551053618861536. Its totient is φ = 111309512491008.

The previous prime is 248053438926541. The next prime is 248053438926617. The reversal of 248053438926592 is 295629834350842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188193178 + ... + 2188306534.

It is an arithmetic number, because the mean of its divisors is an integer number (2551174161396).

Almost surely, 2^{248053438926592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248053438926592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275526809430768).

248053438926592 is an abundant number, since it is smaller than the sum of its proper divisors (303000179934944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248053438926592 is a wasteful number, since it uses less digits than its factorization.

248053438926592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114803 (or 114776 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 70.

The spelling of 248053438926592 in words is "two hundred forty-eight trillion, fifty-three billion, four hundred thirty-eight million, nine hundred twenty-six thousand, five hundred ninety-two".