12134763461184 has 896 divisors, whose sum is σ = 41591023337472. Its totient is φ = 3037462364160.

The previous prime is 12134763461167. The next prime is 12134763461201. The reversal of 12134763461184 is 48116436743121.

It is an interprime number because it is at equal distance from previous prime (12134763461167) and next prime (12134763461201).

It is a super-3 number, since 3×12134763461184³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5008155397 + ... + 5008157819.

It is an arithmetic number, because the mean of its divisors is an integer number (46418552832).

Almost surely, 2^{12134763461184} is an apocalyptic number.

12134763461184 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 12134763461184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795511668736).

12134763461184 is an abundant number, since it is smaller than the sum of its proper divisors (29456259876288).

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

12134763461184 is a wasteful number, since it uses less digits than its factorization.

12134763461184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2673 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 12134763461184 in words is "twelve trillion, one hundred thirty-four billion, seven hundred sixty-three million, four hundred sixty-one thousand, one hundred eighty-four".