96546419424 has 1152 divisors, whose sum is σ = 379709890560. Its totient is φ = 23420565504.

The previous prime is 96546419401. The next prime is 96546419441. The reversal of 96546419424 is 42491464569.

96546419424 is a `hidden beast` number, since 9 + 6 + 546 + 4 + 1 + 94 + 2 + 4 = 666.

It is a super-2 number, since 2×96546419424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 578122189 + ... + 578122355.

It is an arithmetic number, because the mean of its divisors is an integer number (329609280).

Almost surely, 2^96546419424 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 96546419424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189854945280).

96546419424 is an abundant number, since it is smaller than the sum of its proper divisors (283163471136).

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

96546419424 is a wasteful number, since it uses less digits than its factorization.

96546419424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 96546419424 in words is "ninety-six billion, five hundred forty-six million, four hundred nineteen thousand, four hundred twenty-four".