11291715648 has 84 divisors (see below), whose sum is σ = 33240474540. Its totient is φ = 3662171136.

The previous prime is 11291715629. The next prime is 11291715653. The reversal of 11291715648 is 84651719211.

11291715648 is a `hidden beast` number, since 1 + 12 + 9 + 1 + 71 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5799127104 + 5492588544 = 76152^2 + 74112^2 .

It is a super-3 number, since 3×11291715648³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243603 + ... + 286226.

It is an arithmetic number, because the mean of its divisors is an integer number (395719935).

Almost surely, 2^11291715648 is an apocalyptic number.

11291715648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11291715648 is an abundant number, since it is smaller than the sum of its proper divisors (21948758892).

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

11291715648 is a wasteful number, since it uses less digits than its factorization.

11291715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529884 (or 529871 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 11291715648 in words is "eleven billion, two hundred ninety-one million, seven hundred fifteen thousand, six hundred forty-eight".