12674249366400 has 1536 divisors, whose sum is σ = 48976673328000. Its totient is φ = 3236448337920.

The previous prime is 12674249366393. The next prime is 12674249366411. The reversal of 12674249366400 is 466394247621.

12674249366400 is a `hidden beast` number, since 1 + 2 + 6 + 74 + 24 + 93 + 66 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39981859042 + ... + 39981859358.

Almost surely, 2^{12674249366400} is an apocalyptic number.

12674249366400 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 12674249366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24488336664000).

12674249366400 is an abundant number, since it is smaller than the sum of its proper divisors (36302423961600).

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

12674249366400 is an equidigital number, since it uses as much as digits as its factorization.

12674249366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 12674249366400 in words is "twelve trillion, six hundred seventy-four billion, two hundred forty-nine million, three hundred sixty-six thousand, four hundred".