96841113600 has 1344 divisors, whose sum is σ = 421250181120. Its totient is φ = 19031654400.

The previous prime is 96841113587. The next prime is 96841113617. The reversal of 96841113600 is 631114869.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1088102356 + ... + 1088102444.

Almost surely, 2^96841113600 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 96841113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210625090560).

96841113600 is an abundant number, since it is smaller than the sum of its proper divisors (324409067520).

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

96841113600 is a wasteful number, since it uses less digits than its factorization.

96841113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

It can be divided in two parts, 96 and 841113600, that multiplied together give a square (80746905600 = 284160²).

The spelling of 96841113600 in words is "ninety-six billion, eight hundred forty-one million, one hundred thirteen thousand, six hundred".