96433650900 has 252 divisors, whose sum is σ = 332208042012. Its totient is φ = 24202644480.

The previous prime is 96433650899. The next prime is 96433650919. The reversal of 96433650900 is 905633469.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9311864004 + 87121786896 = 96498^2 + 295164^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1200394 + ... + 1278206.

It is an arithmetic number, because the mean of its divisors is an integer number (1318285881).

Almost surely, 2^96433650900 is an apocalyptic number.

96433650900 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 96433650900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166104021006).

96433650900 is an abundant number, since it is smaller than the sum of its proper divisors (235774391112).

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

96433650900 is a wasteful number, since it uses less digits than its factorization.

96433650900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77862 (or 77840 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 96433650900 in words is "ninety-six billion, four hundred thirty-three million, six hundred fifty thousand, nine hundred".