96434601344 has 128 divisors (see below), whose sum is σ = 197940188160. Its totient is φ = 46782720000.

The previous prime is 96434601331. The next prime is 96434601359. The reversal of 96434601344 is 44310643469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 96434601295 and 96434601304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310078949 + ... + 310079259.

It is an arithmetic number, because the mean of its divisors is an integer number (1546407720).

Almost surely, 2^96434601344 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 96434601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98970094080).

96434601344 is an abundant number, since it is smaller than the sum of its proper divisors (101505586816).

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

96434601344 is a wasteful number, since it uses less digits than its factorization.

96434601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 96434601344 in words is "ninety-six billion, four hundred thirty-four million, six hundred one thousand, three hundred forty-four".