96852354144 has 288 divisors, whose sum is σ = 322995568896. Its totient is φ = 25182581760.

The previous prime is 96852354143. The next prime is 96852354149. The reversal of 96852354144 is 44145325869.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96852354143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4330639 + ... + 4352945.

It is an arithmetic number, because the mean of its divisors is an integer number (1121512392).

Almost surely, 2^96852354144 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 96852354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161497784448).

96852354144 is an abundant number, since it is smaller than the sum of its proper divisors (226143214752).

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

96852354144 is a wasteful number, since it uses less digits than its factorization.

96852354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22418 (or 22403 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 96852354144 in words is "ninety-six billion, eight hundred fifty-two million, three hundred fifty-four thousand, one hundred forty-four".