12291761664 has 400 divisors, whose sum is σ = 45167921568. Its totient is φ = 3240787968.

The previous prime is 12291761653. The next prime is 12291761693. The reversal of 12291761664 is 46616719221.

12291761664 is a `hidden beast` number, since 1 + 2 + 29 + 1 + 7 + 616 + 6 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 3772324 + ... + 3775580.

Almost surely, 2^12291761664 is an apocalyptic number.

12291761664 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 12291761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22583960784).

12291761664 is an abundant number, since it is smaller than the sum of its proper divisors (32876159904).

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

12291761664 is an equidigital number, since it uses as much as digits as its factorization.

12291761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3282 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 12291761664 in words is "twelve billion, two hundred ninety-one million, seven hundred sixty-one thousand, six hundred sixty-four".