10964341608192 has 432 divisors, whose sum is σ = 37718958251520. Its totient is φ = 2994947923968.

The previous prime is 10964341608119. The next prime is 10964341608203. The reversal of 10964341608192 is 29180614346901.

10964341608192 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 434 + 16 + 0 + 8 + 192 = 666.

It is a super-2 number, since 2×10964341608192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867631698 + ... + 867644334.

It is an arithmetic number, because the mean of its divisors is an integer number (87312403360).

Almost surely, 2^{10964341608192} is an apocalyptic number.

10964341608192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10964341608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859479125760).

10964341608192 is an abundant number, since it is smaller than the sum of its proper divisors (26754616643328).

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

10964341608192 is a wasteful number, since it uses less digits than its factorization.

10964341608192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15028 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10964341608192 in words is "ten trillion, nine hundred sixty-four billion, three hundred forty-one million, six hundred eight thousand, one hundred ninety-two".