10944670954752 has 432 divisors, whose sum is σ = 34251981865920. Its totient is φ = 3349278720000.

The previous prime is 10944670954739. The next prime is 10944670954781. The reversal of 10944670954752 is 25745907644901.

10944670954752 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 4 + 6 + 70 + 95 + 475 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10944670954752.

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, 406534252 + ... + 406561172.

It is an arithmetic number, because the mean of its divisors is an integer number (79286995060).

Almost surely, 2^{10944670954752} is an apocalyptic number.

10944670954752 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 10944670954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125990932960).

10944670954752 is an abundant number, since it is smaller than the sum of its proper divisors (23307310911168).

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

10944670954752 is a wasteful number, since it uses less digits than its factorization.

10944670954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27250 (or 27233 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 10944670954752 in words is "ten trillion, nine hundred forty-four billion, six hundred seventy million, nine hundred fifty-four thousand, seven hundred fifty-two".