966255099824448 has 1344 divisors, whose sum is σ = 3371256737280000. Its totient is φ = 270550986596352.

The previous prime is 966255099824381. The next prime is 966255099824459. The reversal of 966255099824448 is 844428990552669.

966255099824448 is a `hidden beast` number, since 9 + 6 + 6 + 2 + 5 + 5 + 0 + 99 + 82 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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, 568719893103 + ... + 568719894801.

Almost surely, 2^{966255099824448} is an apocalyptic number.

966255099824448 is a gapful number since it is divisible by the number (98) 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 966255099824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685628368640000).

966255099824448 is an abundant number, since it is smaller than the sum of its proper divisors (2405001637455552).

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

966255099824448 is a wasteful number, since it uses less digits than its factorization.

966255099824448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 10749542400, while the sum is 81.

The spelling of 966255099824448 in words is "nine hundred sixty-six trillion, two hundred fifty-five billion, ninety-nine million, eight hundred twenty-four thousand, four hundred forty-eight".