99241283441664 has 2640 divisors, whose sum is σ = 395468156614608. Its totient is φ = 24485642108928.

The previous prime is 99241283441659. The next prime is 99241283441701. The reversal of 99241283441664 is 46614438214299.

99241283441664 is a `hidden beast` number, since 9 + 9 + 2 + 4 + 128 + 3 + 441 + 6 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18577893003264 + 80663390438400 = 4310208^2 + 8981280^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 281136780112 + ... + 281136780464.

Almost surely, 2^{99241283441664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99241283441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197734078307304).

99241283441664 is an abundant number, since it is smaller than the sum of its proper divisors (296226873172944).

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

99241283441664 is a wasteful number, since it uses less digits than its factorization.

99241283441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 708 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 99241283441664 in words is "ninety-nine trillion, two hundred forty-one billion, two hundred eighty-three million, four hundred forty-one thousand, six hundred sixty-four".