11627386848 has 288 divisors, whose sum is σ = 41752488960. Its totient is φ = 2981422080.

The previous prime is 11627386831. The next prime is 11627386879. The reversal of 11627386848 is 84868372611.

11627386848 is a `hidden beast` number, since 1 + 1 + 627 + 3 + 8 + 6 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11627386848² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11627386794 and 11627386803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748586 + ... + 1755222.

It is an arithmetic number, because the mean of its divisors is an integer number (144973920).

Almost surely, 2^11627386848 is an apocalyptic number.

11627386848 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 11627386848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20876244480).

11627386848 is an abundant number, since it is smaller than the sum of its proper divisors (30125102112).

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

11627386848 is a wasteful number, since it uses less digits than its factorization.

11627386848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6739 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 11627386848 in words is "eleven billion, six hundred twenty-seven million, three hundred eighty-six thousand, eight hundred forty-eight".