11648919744 has 630 divisors, whose sum is σ = 44268946260. Its totient is φ = 3017710080.

The previous prime is 11648919731. The next prime is 11648919749. The reversal of 11648919744 is 44791984611.

It is a happy number.

11648919744 is a `hidden beast` number, since 116 + 489 + 1 + 9 + 7 + 44 = 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 not an unprimeable number, because it can be changed into a prime (11648919749) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 30735747 + ... + 30736125.

Almost surely, 2^11648919744 is an apocalyptic number.

11648919744 is a gapful number since it is divisible by the number (14) 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 11648919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22134473130).

11648919744 is an abundant number, since it is smaller than the sum of its proper divisors (32620026516).

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

11648919744 is a wasteful number, since it uses less digits than its factorization.

11648919744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 402 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 11648919744 in words is "eleven billion, six hundred forty-eight million, nine hundred nineteen thousand, seven hundred forty-four".