260483048966448 has 960 divisors, whose sum is σ = 986196736512000. Its totient is φ = 63404236062720.

The previous prime is 260483048966293. The next prime is 260483048966461. The reversal of 260483048966448 is 844669840384062.

260483048966448 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 83 + 0 + 48 + 9 + 66 + 448 = 666.

260483048966448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×260483048966448³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2151998313 + ... + 2152119351.

It is an arithmetic number, because the mean of its divisors is an integer number (1027288267200).

Almost surely, 2^{260483048966448} is an apocalyptic number.

260483048966448 is a gapful number since it is divisible by the number (28) 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 260483048966448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493098368256000).

260483048966448 is an abundant number, since it is smaller than the sum of its proper divisors (725713687545552).

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

260483048966448 is a wasteful number, since it uses less digits than its factorization.

260483048966448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121335 (or 121312 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 72.

The spelling of 260483048966448 in words is "two hundred sixty trillion, four hundred eighty-three billion, forty-eight million, nine hundred sixty-six thousand, four hundred forty-eight".