963142428201408 has 672 divisors, whose sum is σ = 3597854403911040. Its totient is φ = 239057932124160.

The previous prime is 963142428201407. The next prime is 963142428201431. The reversal of 963142428201408 is 804102824241369.

963142428201408 is a `hidden beast` number, since 9 + 6 + 3 + 1 + 4 + 2 + 4 + 28 + 201 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963142428201407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20199687328 + ... + 20199735008.

It is an arithmetic number, because the mean of its divisors is an integer number (5353950005820).

Almost surely, 2^{963142428201408} 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 963142428201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798927201955520).

963142428201408 is an abundant number, since it is smaller than the sum of its proper divisors (2634711975709632).

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

963142428201408 is a wasteful number, since it uses less digits than its factorization.

963142428201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70405 (or 70392 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 963142428201408 in words is "nine hundred sixty-three trillion, one hundred forty-two billion, four hundred twenty-eight million, two hundred one thousand, four hundred eight".