11391516864 has 672 divisors, whose sum is σ = 42808550400. Its totient is φ = 2943682560.

The previous prime is 11391516839. The next prime is 11391516887. The reversal of 11391516864 is 46861519311.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86958079 + ... + 86958209.

It is an arithmetic number, because the mean of its divisors is an integer number (63703200).

Almost surely, 2^11391516864 is an apocalyptic number.

11391516864 is a gapful number since it is divisible by the number (14) 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 11391516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21404275200).

11391516864 is an abundant number, since it is smaller than the sum of its proper divisors (31417033536).

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

11391516864 is a wasteful number, since it uses less digits than its factorization.

11391516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 11391516864 in words is "eleven billion, three hundred ninety-one million, five hundred sixteen thousand, eight hundred sixty-four".