12894783498000 has 1600 divisors, whose sum is σ = 49605350006784. Its totient is φ = 3223463040000.

The previous prime is 12894783497987. The next prime is 12894783498007. The reversal of 12894783498000 is 89438749821.

12894783498000 is a `hidden beast` number, since 1 + 2 + 89 + 478 + 3 + 4 + 9 + 80 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12894783498007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 45564605859 + ... + 45564606141.

Almost surely, 2^{12894783498000} is an apocalyptic number.

12894783498000 is a gapful number since it is divisible by the number (10) 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 12894783498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802675003392).

12894783498000 is an abundant number, since it is smaller than the sum of its proper divisors (36710566508784).

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

12894783498000 is a wasteful number, since it uses less digits than its factorization.

12894783498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 12894783498000 in words is "twelve trillion, eight hundred ninety-four billion, seven hundred eighty-three million, four hundred ninety-eight thousand".