248668667520 has 768 divisors, whose sum is σ = 1008711325440. Its totient is φ = 50739609600.

The previous prime is 248668667447. The next prime is 248668667537. The reversal of 248668667520 is 25766866842.

It is a super-2 number, since 2×248668667520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167905180 + ... + 167906660.

It is an arithmetic number, because the mean of its divisors is an integer number (1313426205).

Almost surely, 2^248668667520 is an apocalyptic number.

248668667520 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 248668667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504355662720).

248668667520 is an abundant number, since it is smaller than the sum of its proper divisors (760042657920).

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

248668667520 is a wasteful number, since it uses less digits than its factorization.

248668667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 248668667520 in words is "two hundred forty-eight billion, six hundred sixty-eight million, six hundred sixty-seven thousand, five hundred twenty".