11649285648 has 960 divisors, whose sum is σ = 47285862400. Its totient is φ = 2668723200.

The previous prime is 11649285619. The next prime is 11649285671. The reversal of 11649285648 is 84658294611.

11649285648 is a `hidden beast` number, since 1 + 16 + 49 + 28 + 564 + 8 = 666.

It is a super-2 number, since 2×11649285648² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11649285594 and 11649285603.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147459273 + ... + 147459351.

Almost surely, 2^11649285648 is an apocalyptic number.

11649285648 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 11649285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23642931200).

11649285648 is an abundant number, since it is smaller than the sum of its proper divisors (35636576752).

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

11649285648 is a wasteful number, since it uses less digits than its factorization.

11649285648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

11649285648 divided by its sum of digits (54) gives a palindrome (215727512).

The spelling of 11649285648 in words is "eleven billion, six hundred forty-nine million, two hundred eighty-five thousand, six hundred forty-eight".