96345398160 has 1080 divisors, whose sum is σ = 388540866168. Its totient is φ = 22170931200.

The previous prime is 96345398143. The next prime is 96345398167. The reversal of 96345398160 is 6189354369.

96345398160 is a `hidden beast` number, since 96 + 3 + 4 + 5 + 398 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6719408784 + 89625989376 = 81972^2 + 299376^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96345398097 and 96345398106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96345398167) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 2349887740 + ... + 2349887780.

Almost surely, 2^96345398160 is an apocalyptic number.

96345398160 is a gapful number since it is divisible by the number (90) 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 96345398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194270433084).

96345398160 is an abundant number, since it is smaller than the sum of its proper divisors (292195468008).

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

96345398160 is a wasteful number, since it uses less digits than its factorization.

96345398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 96345398160 in words is "ninety-six billion, three hundred forty-five million, three hundred ninety-eight thousand, one hundred sixty".