11391460640928 has 384 divisors, whose sum is σ = 34587753338880. Its totient is φ = 3643564032000.

The previous prime is 11391460640909. The next prime is 11391460640929. The reversal of 11391460640928 is 82904606419311.

11391460640928 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 1 + 4 + 606 + 4 + 0 + 9 + 28 = 666.

It is a super-3 number, since 3×11391460640928³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11391460640929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4994063148 + ... + 4994065428.

It is an arithmetic number, because the mean of its divisors is an integer number (90072274320).

Almost surely, 2^{11391460640928} is an apocalyptic number.

11391460640928 is a gapful number since it is divisible by the number (18) 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 11391460640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293876669440).

11391460640928 is an abundant number, since it is smaller than the sum of its proper divisors (23196292697952).

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

11391460640928 is a wasteful number, since it uses less digits than its factorization.

11391460640928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3815 counting only the distinct ones).

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

The spelling of 11391460640928 in words is "eleven trillion, three hundred ninety-one billion, four hundred sixty million, six hundred forty thousand, nine hundred twenty-eight".