248266720880640 has 5376 divisors, whose sum is σ = 1180554833203200. Its totient is φ = 48559266201600.

The previous prime is 248266720880569. The next prime is 248266720880641. The reversal of 248266720880640 is 46088027662842.

248266720880640 is a `hidden beast` number, since 2 + 482 + 6 + 6 + 72 + 0 + 8 + 80 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (248266720880641) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1176619530135 + ... + 1176619530345.

It is an arithmetic number, because the mean of its divisors is an integer number (219597253200).

Almost surely, 2^{248266720880640} is an apocalyptic number.

248266720880640 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 248266720880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590277416601600).

248266720880640 is an abundant number, since it is smaller than the sum of its proper divisors (932288112322560).

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

248266720880640 is a wasteful number, since it uses less digits than its factorization.

248266720880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 248266720880640 in words is "two hundred forty-eight trillion, two hundred sixty-six billion, seven hundred twenty million, eight hundred eighty thousand, six hundred forty".