248431552512 has 384 divisors, whose sum is σ = 823933918080. Its totient is φ = 65399685120.

The previous prime is 248431552483. The next prime is 248431552513. The reversal of 248431552512 is 215255134842.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×248431552512² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248431552513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14927748 + ... + 14944380.

It is an arithmetic number, because the mean of its divisors is an integer number (2145661245).

Almost surely, 2^248431552512 is an apocalyptic number.

248431552512 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 248431552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411966959040).

248431552512 is an abundant number, since it is smaller than the sum of its proper divisors (575502365568).

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

248431552512 is a wasteful number, since it uses less digits than its factorization.

248431552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16699 (or 16679 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The spelling of 248431552512 in words is "two hundred forty-eight billion, four hundred thirty-one million, five hundred fifty-two thousand, five hundred twelve".