11486286648 has 80 divisors (see below), whose sum is σ = 32216888880. Its totient is φ = 3823448832.

The previous prime is 11486286631. The next prime is 11486286659. The reversal of 11486286648 is 84668268411.

It is a happy number.

11486286648 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 628 + 6 + 6 + 4 + 8 = 666.

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

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 = 11486286594 and 11486286603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 469536 + ... + 493392.

It is an arithmetic number, because the mean of its divisors is an integer number (402711111).

Almost surely, 2^11486286648 is an apocalyptic number.

11486286648 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 11486286648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108444440).

11486286648 is an abundant number, since it is smaller than the sum of its proper divisors (20730602232).

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

11486286648 is a wasteful number, since it uses less digits than its factorization.

11486286648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24618 (or 24605 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 11486286648 in words is "eleven billion, four hundred eighty-six million, two hundred eighty-six thousand, six hundred forty-eight".