9923961608064 has 480 divisors, whose sum is σ = 34400392293960. Its totient is φ = 2831700695040.

The previous prime is 9923961608051. The next prime is 9923961608117. The reversal of 9923961608064 is 4608061693299.

9923961608064 is a `hidden beast` number, since 9 + 9 + 2 + 3 + 9 + 616 + 0 + 8 + 0 + 6 + 4 = 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 = 9923961607992 and 9923961608010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 399808774 + ... + 399833594.

Almost surely, 2^{9923961608064} 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 9923961608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200196146980).

9923961608064 is an abundant number, since it is smaller than the sum of its proper divisors (24476430685896).

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

9923961608064 is a wasteful number, since it uses less digits than its factorization.

9923961608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25648 (or 25620 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 9923961608064 in words is "nine trillion, nine hundred twenty-three billion, nine hundred sixty-one million, six hundred eight thousand, sixty-four".