10911494014464 has 160 divisors (see below), whose sum is σ = 30602394535680. Its totient is φ = 3445335171072.

The previous prime is 10911494014459. The next prime is 10911494014469. The reversal of 10911494014464 is 46441049411901.

It is an interprime number because it is at equal distance from previous prime (10911494014459) and next prime (10911494014469).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10911494014469) 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 15 ways as a sum of consecutive naturals, for example, 346194034 + ... + 346225550.

It is an arithmetic number, because the mean of its divisors is an integer number (191264965848).

Almost surely, 2^{10911494014464} 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 10911494014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301197267840).

10911494014464 is an abundant number, since it is smaller than the sum of its proper divisors (19690900521216).

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

10911494014464 is a wasteful number, since it uses less digits than its factorization.

10911494014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43420 (or 43404 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 10911494014464 in words is "ten trillion, nine hundred eleven billion, four hundred ninety-four million, fourteen thousand, four hundred sixty-four".