11647819008 has 576 divisors, whose sum is σ = 42678720000. Its totient is φ = 3132186624.

The previous prime is 11647818997. The next prime is 11647819031. The reversal of 11647819008 is 80091874611.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11647819008² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685165816 + ... + 685165832.

It is an arithmetic number, because the mean of its divisors is an integer number (74095000).

Almost surely, 2^11647819008 is an apocalyptic number.

11647819008 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 11647819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339360000).

11647819008 is an abundant number, since it is smaller than the sum of its proper divisors (31030900992).

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

11647819008 is an frugal number, since it uses more digits than its factorization.

11647819008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11647819008 in words is "eleven billion, six hundred forty-seven million, eight hundred nineteen thousand, eight".