96412145664 has 192 divisors, whose sum is σ = 275687193600. Its totient is φ = 29869572096.

The previous prime is 96412145629. The next prime is 96412145723. The reversal of 96412145664 is 46654121469.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6179217 + ... + 6194799.

It is an arithmetic number, because the mean of its divisors is an integer number (1435870800).

Almost surely, 2^96412145664 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 96412145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137843596800).

96412145664 is an abundant number, since it is smaller than the sum of its proper divisors (179275047936).

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

96412145664 is a wasteful number, since it uses less digits than its factorization.

96412145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680 (or 15660 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

It can be divided in two parts, 96 and 412145664, that multiplied together give a square (39565983744 = 198912²).

The spelling of 96412145664 in words is "ninety-six billion, four hundred twelve million, one hundred forty-five thousand, six hundred sixty-four".