248375014272 has 768 divisors, whose sum is σ = 947784913920. Its totient is φ = 60517416960.

The previous prime is 248375014213. The next prime is 248375014313. The reversal of 248375014272 is 272410573842.

248375014272 is a `hidden beast` number, since 2 + 4 + 8 + 37 + 501 + 42 + 72 = 666.

248375014272 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 108129028 + ... + 108131324.

It is an arithmetic number, because the mean of its divisors is an integer number (1234094940).

Almost surely, 2^248375014272 is an apocalyptic number.

248375014272 is a gapful number since it is divisible by the number (22) 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 248375014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473892456960).

248375014272 is an abundant number, since it is smaller than the sum of its proper divisors (699409899648).

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

248375014272 is a wasteful number, since it uses less digits than its factorization.

248375014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 248375014272 in words is "two hundred forty-eight billion, three hundred seventy-five million, fourteen thousand, two hundred seventy-two".