96187143444480 has 3840 divisors, whose sum is σ = 424134840729600. Its totient is φ = 20547391979520.

The previous prime is 96187143444439. The next prime is 96187143444481. The reversal of 96187143444480 is 8444434178169.

96187143444480 is a `hidden beast` number, since 9 + 6 + 1 + 8 + 7 + 143 + 4 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96187143444481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 374269040512 + ... + 374269040768.

It is an arithmetic number, because the mean of its divisors is an integer number (110451781440).

Almost surely, 2^{96187143444480} is an apocalyptic number.

96187143444480 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 96187143444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212067420364800).

96187143444480 is an abundant number, since it is smaller than the sum of its proper divisors (327947697285120).

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

96187143444480 is a wasteful number, since it uses less digits than its factorization.

96187143444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 96187143444480 in words is "ninety-six trillion, one hundred eighty-seven billion, one hundred forty-three million, four hundred forty-four thousand, four hundred eighty".