9964881045504 has 2688 divisors, whose sum is σ = 39960254880000. Its totient is φ = 2458062028800.

The previous prime is 9964881045439. The next prime is 9964881045521. The reversal of 9964881045504 is 4055401884699.

9964881045504 is a `hidden beast` number, since 9 + 9 + 6 + 4 + 8 + 81 + 0 + 45 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×9964881045504² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 163358705634 + ... + 163358705694.

It is an arithmetic number, because the mean of its divisors is an integer number (14866166250).

Almost surely, 2^{9964881045504} 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 9964881045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980127440000).

9964881045504 is an abundant number, since it is smaller than the sum of its proper divisors (29995373834496).

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

9964881045504 is an equidigital number, since it uses as much as digits as its factorization.

9964881045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 9964881045504 in words is "nine trillion, nine hundred sixty-four billion, eight hundred eighty-one million, forty-five thousand, five hundred four".