11229662640 has 160 divisors (see below), whose sum is σ = 39914873856. Its totient is φ = 2558407680.

The previous prime is 11229662629. The next prime is 11229662687. The reversal of 11229662640 is 4626692211.

It is a happy number.

11229662640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11229662640² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 511734 + ... + 533226.

Almost surely, 2^11229662640 is an apocalyptic number.

11229662640 is a gapful number since it is divisible by the number (10) 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 11229662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19957436928).

11229662640 is an abundant number, since it is smaller than the sum of its proper divisors (28685211216).

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

11229662640 is a wasteful number, since it uses less digits than its factorization.

11229662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21827 (or 21821 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

It can be divided in two parts, 112296 and 62640, that added together give a triangular number (174936 = T₅₉₁).

The spelling of 11229662640 in words is "eleven billion, two hundred twenty-nine million, six hundred sixty-two thousand, six hundred forty".