11666358730368 has 320 divisors, whose sum is σ = 36896983643520. Its totient is φ = 3646513520640.

The previous prime is 11666358730363. The next prime is 11666358730373. The reversal of 11666358730368 is 86303785366611.

It is an interprime number because it is at equal distance from previous prime (11666358730363) and next prime (11666358730373).

It is a super-2 number, since 2×11666358730368² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11666358730363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47643255 + ... + 47887497.

It is an arithmetic number, because the mean of its divisors is an integer number (115303073886).

Almost surely, 2^{11666358730368} is an apocalyptic number.

11666358730368 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 11666358730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448491821760).

11666358730368 is an abundant number, since it is smaller than the sum of its proper divisors (25230624913152).

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

11666358730368 is a wasteful number, since it uses less digits than its factorization.

11666358730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244557 (or 244536 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 11666358730368 in words is "eleven trillion, six hundred sixty-six billion, three hundred fifty-eight million, seven hundred thirty thousand, three hundred sixty-eight".