10664981184 has 224 divisors, whose sum is σ = 33284160000. Its totient is φ = 2971238400.

The previous prime is 10664981183. The next prime is 10664981189. The reversal of 10664981184 is 48118946601.

It is a super-2 number, since 2×10664981184² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10664981183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8538192 + ... + 8539440.

It is an arithmetic number, because the mean of its divisors is an integer number (148590000).

Almost surely, 2^10664981184 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 10664981184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080000).

10664981184 is an abundant number, since it is smaller than the sum of its proper divisors (22619178816).

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

10664981184 is a wasteful number, since it uses less digits than its factorization.

10664981184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 10664981184 in words is "ten billion, six hundred sixty-four million, nine hundred eighty-one thousand, one hundred eighty-four".