12291695640576 has 952 divisors, whose sum is σ = 42359295095040. Its totient is φ = 3525849907200.

The previous prime is 12291695640559. The next prime is 12291695640589. The reversal of 12291695640576 is 67504659619221.

12291695640576 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 1 + 6 + 9 + 56 + 4 + 0 + 576 = 666.

It is a super-3 number, since 3×12291695640576³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9985129881 + ... + 9985131111.

Almost surely, 2^{12291695640576} is an apocalyptic number.

12291695640576 is a gapful number since it is divisible by the number (16) 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 12291695640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21179647547520).

12291695640576 is an abundant number, since it is smaller than the sum of its proper divisors (30067599454464).

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

12291695640576 is an frugal number, since it uses more digits than its factorization.

12291695640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 12291695640576 in words is "twelve trillion, two hundred ninety-one billion, six hundred ninety-five million, six hundred forty thousand, five hundred seventy-six".