12183954660864 has 2400 divisors, whose sum is σ = 46634898657600. Its totient is φ = 3147359846400.

The previous prime is 12183954660863. The next prime is 12183954660883. The reversal of 12183954660864 is 46806645938121.

12183954660864 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 3 + 9 + 546 + 6 + 0 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12183954660863) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 120633214414 + ... + 120633214514.

It is an arithmetic number, because the mean of its divisors is an integer number (19431207774).

Almost surely, 2^{12183954660864} is an apocalyptic number.

12183954660864 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 12183954660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317449328800).

12183954660864 is an abundant number, since it is smaller than the sum of its proper divisors (34450943996736).

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

12183954660864 is a wasteful number, since it uses less digits than its factorization.

12183954660864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 12183954660864 in words is "twelve trillion, one hundred eighty-three billion, nine hundred fifty-four million, six hundred sixty thousand, eight hundred sixty-four".