248652068772240 has 720 divisors, whose sum is σ = 1028700688549248. Its totient is φ = 53482817396736.

The previous prime is 248652068772187. The next prime is 248652068772269. The reversal of 248652068772240 is 42277860256842.

248652068772240 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 520 + 6 + 87 + 7 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4092132099 + ... + 4092192861.

Almost surely, 2^{248652068772240} is an apocalyptic number.

248652068772240 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 248652068772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514350344274624).

248652068772240 is an abundant number, since it is smaller than the sum of its proper divisors (780048619777008).

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

248652068772240 is a wasteful number, since it uses less digits than its factorization.

248652068772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67636 (or 67620 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 248652068772240 in words is "two hundred forty-eight trillion, six hundred fifty-two billion, sixty-eight million, seven hundred seventy-two thousand, two hundred forty".