11761866144 has 480 divisors, whose sum is σ = 41165663616. Its totient is φ = 3224862720.

The previous prime is 11761866121. The next prime is 11761866217. The reversal of 11761866144 is 44166816711.

11761866144 is a `hidden beast` number, since 1 + 17 + 6 + 18 + 6 + 614 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11761866144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72158607 + ... + 72158769.

Almost surely, 2^11761866144 is an apocalyptic number.

11761866144 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 11761866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582831808).

11761866144 is an abundant number, since it is smaller than the sum of its proper divisors (29403797472).

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

11761866144 is a wasteful number, since it uses less digits than its factorization.

11761866144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11761866144 in words is "eleven billion, seven hundred sixty-one million, eight hundred sixty-six thousand, one hundred forty-four".