963486245240064 has 6480 divisors, whose sum is σ = 4023281129269248. Its totient is φ = 226977447739392.

The previous prime is 963486245240059. The next prime is 963486245240089. The reversal of 963486245240064 is 460042542684369.

963486245240064 is a `hidden beast` number, since 9 + 6 + 3 + 4 + 86 + 2 + 452 + 40 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 963486245239983 and 963486245240010.

It is a congruent number.

It is an unprimeable number.

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 719 ways as a sum of consecutive naturals, for example, 7586505867969 + ... + 7586505868095.

Almost surely, 2^{963486245240064} 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 963486245240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011640564634624).

963486245240064 is an abundant number, since it is smaller than the sum of its proper divisors (3059794884029184).

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

963486245240064 is a wasteful number, since it uses less digits than its factorization.

963486245240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 963486245240064 in words is "nine hundred sixty-three trillion, four hundred eighty-six billion, two hundred forty-five million, two hundred forty thousand, sixty-four".