12084956364096 has 448 divisors, whose sum is σ = 44373862748160. Its totient is φ = 3133295032320.

The previous prime is 12084956364083. The next prime is 12084956364157. The reversal of 12084956364096 is 69046365948021.

12084956364096 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 4 + 9 + 563 + 64 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74030661 + ... + 74193723.

Almost surely, 2^{12084956364096} is an apocalyptic number.

12084956364096 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 12084956364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186931374080).

12084956364096 is an abundant number, since it is smaller than the sum of its proper divisors (32288906384064).

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

12084956364096 is a wasteful number, since it uses less digits than its factorization.

12084956364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163659 (or 163643 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 12084956364096 in words is "twelve trillion, eighty-four billion, nine hundred fifty-six million, three hundred sixty-four thousand, ninety-six".