11664436476 has 288 divisors, whose sum is σ = 36486858240. Its totient is φ = 2862182400.

The previous prime is 11664436417. The next prime is 11664436481. The reversal of 11664436476 is 67463446611.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13239556 + ... + 13240436.

It is an arithmetic number, because the mean of its divisors is an integer number (126690480).

Almost surely, 2^11664436476 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 11664436476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243429120).

11664436476 is an abundant number, since it is smaller than the sum of its proper divisors (24822421764).

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

11664436476 is a wasteful number, since it uses less digits than its factorization.

11664436476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1016 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 11664436476 in words is "eleven billion, six hundred sixty-four million, four hundred thirty-six thousand, four hundred seventy-six".