11516557248 has 672 divisors, whose sum is σ = 43364505600. Its totient is φ = 2842656768.

The previous prime is 11516557223. The next prime is 11516557277. The reversal of 11516557248 is 84275561511.

11516557248 is a `hidden beast` number, since 1 + 1 + 51 + 6 + 557 + 2 + 48 = 666.

11516557248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×11516557248² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48186313 + ... + 48186551.

Almost surely, 2^11516557248 is an apocalyptic number.

11516557248 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 11516557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682252800).

11516557248 is an abundant number, since it is smaller than the sum of its proper divisors (31847948352).

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

11516557248 is a wasteful number, since it uses less digits than its factorization.

11516557248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

It can be divided in two parts, 1 and 1516557248, that added together give a square (1516557249 = 38943²).

The spelling of 11516557248 in words is "eleven billion, five hundred sixteen million, five hundred fifty-seven thousand, two hundred forty-eight".