96224516460 has 192 divisors, whose sum is σ = 309380198400. Its totient is φ = 24803366400.

The previous prime is 96224516447. The next prime is 96224516489. The reversal of 96224516460 is 6461542269.

96224516460 is a `hidden beast` number, since 9 + 622 + 4 + 5 + 16 + 4 + 6 + 0 = 666.

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

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, 17055240 + ... + 17060880.

It is an arithmetic number, because the mean of its divisors is an integer number (1611355200).

Almost surely, 2^96224516460 is an apocalyptic number.

96224516460 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 96224516460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154690099200).

96224516460 is an abundant number, since it is smaller than the sum of its proper divisors (213155681940).

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

96224516460 is a wasteful number, since it uses less digits than its factorization.

96224516460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 96224516460 in words is "ninety-six billion, two hundred twenty-four million, five hundred sixteen thousand, four hundred sixty".