96953881687344 has 240 divisors, whose sum is σ = 297821653908480. Its totient is φ = 29199648360960.

The previous prime is 96953881687309. The next prime is 96953881687361. The reversal of 96953881687344 is 44378618835969.

96953881687344 is a `hidden beast` number, since 9 + 6 + 9 + 5 + 388 + 168 + 73 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516792342 + ... + 516979914.

It is an arithmetic number, because the mean of its divisors is an integer number (1240923557952).

Almost surely, 2^{96953881687344} 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 96953881687344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148910826954240).

96953881687344 is an abundant number, since it is smaller than the sum of its proper divisors (200867772221136).

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

96953881687344 is a wasteful number, since it uses less digits than its factorization.

96953881687344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189600 (or 189591 counting only the distinct ones).

The product of its digits is 7524679680, while the sum is 81.

The spelling of 96953881687344 in words is "ninety-six trillion, nine hundred fifty-three billion, eight hundred eighty-one million, six hundred eighty-seven thousand, three hundred forty-four".