96849456000 has 1024 divisors, whose sum is σ = 371256238080. Its totient is φ = 22118400000.

The previous prime is 96849455993. The next prime is 96849456007. The reversal of 96849456000 is 65494869.

It is an interprime number because it is at equal distance from previous prime (96849455993) and next prime (96849456007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96849456007) 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 127 ways as a sum of consecutive naturals, for example, 998447952 + ... + 998448048.

It is an arithmetic number, because the mean of its divisors is an integer number (362554920).

Almost surely, 2^96849456000 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 96849456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185628119040).

96849456000 is an abundant number, since it is smaller than the sum of its proper divisors (274406782080).

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

96849456000 is a wasteful number, since it uses less digits than its factorization.

96849456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 96849456000 in words is "ninety-six billion, eight hundred forty-nine million, four hundred fifty-six thousand".