10946113389120 has 896 divisors, whose sum is σ = 45136024657920. Its totient is φ = 2184239185920.

The previous prime is 10946113389103. The next prime is 10946113389121. The reversal of 10946113389120 is 2198331164901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10946113389120.

It is not an unprimeable number, because it can be changed into a prime (10946113389121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178795315 + ... + 178856525.

It is an arithmetic number, because the mean of its divisors is an integer number (50375027520).

Almost surely, 2^{10946113389120} is an apocalyptic number.

10946113389120 is a gapful number since it is divisible by the number (10) 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 10946113389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22568012328960).

10946113389120 is an abundant number, since it is smaller than the sum of its proper divisors (34189911268800).

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

10946113389120 is a wasteful number, since it uses less digits than its factorization.

10946113389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61363 (or 61353 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 10946113389120 in words is "ten trillion, nine hundred forty-six billion, one hundred thirteen million, three hundred eighty-nine thousand, one hundred twenty".