96748845465600 has 1632 divisors, whose sum is σ = 379707108618240. Its totient is φ = 24067084124160.

The previous prime is 96748845465593. The next prime is 96748845465637. The reversal of 96748845465600 is 656454884769.

It is a happy number.

96748845465600 is a `hidden beast` number, since 9 + 6 + 7 + 4 + 8 + 8 + 4 + 5 + 4 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-3 number, since 3×96748845465600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95507250694 + ... + 95507251706.

Almost surely, 2^{96748845465600} is an apocalyptic number.

96748845465600 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 96748845465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189853554309120).

96748845465600 is an abundant number, since it is smaller than the sum of its proper divisors (282958263152640).

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

96748845465600 is a wasteful number, since it uses less digits than its factorization.

96748845465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 96748845465600 in words is "ninety-six trillion, seven hundred forty-eight billion, eight hundred forty-five million, four hundred sixty-five thousand, six hundred".