11612287648 has 192 divisors, whose sum is σ = 27645196320. Its totient is φ = 4748083200.

The previous prime is 11612287639. The next prime is 11612287663. The reversal of 11612287648 is 84678221611.

It can be written as a sum of positive squares in 16 ways, for example, as 31945104 + 11580342544 = 5652^2 + 107612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11612287598 and 11612287607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8407918 + ... + 8409298.

Almost surely, 2^11612287648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11612287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822598160).

11612287648 is an abundant number, since it is smaller than the sum of its proper divisors (16032908672).

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

11612287648 is a wasteful number, since it uses less digits than its factorization.

11612287648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The spelling of 11612287648 in words is "eleven billion, six hundred twelve million, two hundred eighty-seven thousand, six hundred forty-eight".