96431638248 has 576 divisors, whose sum is σ = 309765980160. Its totient is φ = 27032544000.

The previous prime is 96431638223. The next prime is 96431638307. The reversal of 96431638248 is 84283613469.

96431638248 is a `hidden beast` number, since 96 + 431 + 6 + 3 + 82 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 96431638194 and 96431638203.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 901230211 + ... + 901230317.

It is an arithmetic number, because the mean of its divisors is an integer number (537788160).

Almost surely, 2^96431638248 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 96431638248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154882990080).

96431638248 is an abundant number, since it is smaller than the sum of its proper divisors (213334341912).

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

96431638248 is a wasteful number, since it uses less digits than its factorization.

96431638248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 96431638248 in words is "ninety-six billion, four hundred thirty-one million, six hundred thirty-eight thousand, two hundred forty-eight".