12494030854176 has 288 divisors, whose sum is σ = 38127772388160. Its totient is φ = 4019864454144.

The previous prime is 12494030854153. The next prime is 12494030854199. The reversal of 12494030854176 is 67145803049421.

12494030854176 is a `hidden beast` number, since 1 + 2 + 4 + 94 + 0 + 3 + 0 + 8 + 541 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12494030854153) and next prime (12494030854199).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12494030854176² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047009106 + ... + 1047021038.

It is an arithmetic number, because the mean of its divisors is an integer number (132388098570).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12494030854176 = 24988061708352, but 3⋅12494030854176 = 37482092562528 is not.

Almost surely, 2^{12494030854176} is an apocalyptic number.

12494030854176 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 12494030854176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19063886194080).

12494030854176 is an abundant number, since it is smaller than the sum of its proper divisors (25633741533984).

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

12494030854176 is a wasteful number, since it uses less digits than its factorization.

12494030854176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16630 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12494030854176 in words is "twelve trillion, four hundred ninety-four billion, thirty million, eight hundred fifty-four thousand, one hundred seventy-six".