248314119345600 has 1344 divisors, whose sum is σ = 1019296124301312. Its totient is φ = 51415547904000.

The previous prime is 248314119345599. The next prime is 248314119345631. The reversal of 248314119345600 is 6543911413842.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209194708207 + ... + 209194709393.

Almost surely, 2^{248314119345600} is an apocalyptic number.

248314119345600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248314119345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509648062150656).

248314119345600 is an abundant number, since it is smaller than the sum of its proper divisors (770982004955712).

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

248314119345600 is a wasteful number, since it uses less digits than its factorization.

248314119345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 248314119345600 in words is "two hundred forty-eight trillion, three hundred fourteen billion, one hundred nineteen million, three hundred forty-five thousand, six hundred".