11664233460 has 576 divisors, whose sum is σ = 42728684544. Its totient is φ = 2543616000.

The previous prime is 11664233431. The next prime is 11664233489. The reversal of 11664233460 is 6433246611.

11664233460 is a `hidden beast` number, since 1 + 1 + 6 + 642 + 3 + 3 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11664233431) and next prime (11664233489).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115487410 + ... + 115487510.

It is an arithmetic number, because the mean of its divisors is an integer number (74181744).

Almost surely, 2^11664233460 is an apocalyptic number.

11664233460 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 11664233460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364342272).

11664233460 is an abundant number, since it is smaller than the sum of its proper divisors (31064451084).

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

11664233460 is a wasteful number, since it uses less digits than its factorization.

11664233460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 11664233460 in words is "eleven billion, six hundred sixty-four million, two hundred thirty-three thousand, four hundred sixty".