96142164624 has 495 divisors, whose sum is σ = 318077423209. Its totient is φ = 28129368960.

The previous prime is 96142164593. The next prime is 96142164647. The reversal of 96142164624 is 42646124169.

The square root of 96142164624 is 310068.

It is a perfect power (a square), and thus also a powerful number.

96142164624 is a `hidden beast` number, since 9 + 6 + 1 + 4 + 2 + 16 + 4 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50414619024 + 45727545600 = 224532^2 + 213840^2 .

It is a super-2 number, since 2×96142164624² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96142164624.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3315247042 + ... + 3315247070.

Almost surely, 2^96142164624 is an apocalyptic number.

96142164624 is the 310068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96142164624

96142164624 is an abundant number, since it is smaller than the sum of its proper divisors (221935258585).

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

96142164624 is an equidigital number, since it uses as much as digits as its factorization.

96142164624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 45 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 96142164624 in words is "ninety-six billion, one hundred forty-two million, one hundred sixty-four thousand, six hundred twenty-four".