96735942144 has 640 divisors, whose sum is σ = 320550912000. Its totient is φ = 28663455744.

The previous prime is 96735942133. The next prime is 96735942161. The reversal of 96735942144 is 44124953769.

96735942144 is a `hidden beast` number, since 9 + 6 + 7 + 3 + 594 + 2 + 1 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404752777 + ... + 404753015.

It is an arithmetic number, because the mean of its divisors is an integer number (500860800).

Almost surely, 2^96735942144 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 96735942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275456000).

96735942144 is an abundant number, since it is smaller than the sum of its proper divisors (223814969856).

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

96735942144 is a wasteful number, since it uses less digits than its factorization.

96735942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 96735942144 in words is "ninety-six billion, seven hundred thirty-five million, nine hundred forty-two thousand, one hundred forty-four".