248967827239488 has 336 divisors, whose sum is σ = 769830787390464. Its totient is φ = 70804280279040.

The previous prime is 248967827239441. The next prime is 248967827239489. The reversal of 248967827239488 is 884932728769842.

248967827239488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-5 number, since 5×248967827239488⁵ (a number of 73 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (248967827239489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1849743073 + ... + 1849877663.

Almost surely, 2^{248967827239488} is an apocalyptic number.

248967827239488 is a gapful number since it is divisible by the number (28) 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 248967827239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384915393695232).

248967827239488 is an abundant number, since it is smaller than the sum of its proper divisors (520862960150976).

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

248967827239488 is a wasteful number, since it uses less digits than its factorization.

248967827239488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135530 (or 135513 counting only the distinct ones).

The product of its digits is 37456183296, while the sum is 87.

The spelling of 248967827239488 in words is "two hundred forty-eight trillion, nine hundred sixty-seven billion, eight hundred twenty-seven million, two hundred thirty-nine thousand, four hundred eighty-eight".