11344126464 has 360 divisors, whose sum is σ = 37208899728. Its totient is φ = 3426416640.

The previous prime is 11344126463. The next prime is 11344126483. The reversal of 11344126464 is 46462144311.

11344126464 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 1 + 2 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (11344126463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36951399 + ... + 36951705.

Almost surely, 2^11344126464 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 11344126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604449864).

11344126464 is an abundant number, since it is smaller than the sum of its proper divisors (25864773264).

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

11344126464 is an frugal number, since it uses more digits than its factorization.

11344126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 323 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 11344126464 in words is "eleven billion, three hundred forty-four million, one hundred twenty-six thousand, four hundred sixty-four".