248770506531456 has 640 divisors, whose sum is σ = 914114925884160. Its totient is φ = 65398762782720.

The previous prime is 248770506531397. The next prime is 248770506531457. The reversal of 248770506531456 is 654135605077842.

248770506531456 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 7 + 0 + 50 + 6 + 531 + 45 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 248770506531393 and 248770506531402.

It is not an unprimeable number, because it can be changed into a prime (248770506531457) 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 79 ways as a sum of consecutive naturals, for example, 293000860 + ... + 293848676.

It is an arithmetic number, because the mean of its divisors is an integer number (1428304571694).

Almost surely, 2^{248770506531456} is an apocalyptic number.

248770506531456 is a gapful number since it is divisible by the number (26) 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 248770506531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457057462942080).

248770506531456 is an abundant number, since it is smaller than the sum of its proper divisors (665344419352704).

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

248770506531456 is a wasteful number, since it uses less digits than its factorization.

248770506531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848174 (or 848153 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 248770506531456 in words is "two hundred forty-eight trillion, seven hundred seventy billion, five hundred six million, five hundred thirty-one thousand, four hundred fifty-six".