12574218867408 has 560 divisors, whose sum is σ = 40269963932352. Its totient is φ = 3770178048000.

The previous prime is 12574218867403. The next prime is 12574218867461. The reversal of 12574218867408 is 80476881247521.

12574218867408 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 4 + 218 + 8 + 6 + 7 + 408 = 666.

It is a super-2 number, since 2×12574218867408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12574218867403) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7076093016 + ... + 7076094792.

Almost surely, 2^{12574218867408} is an apocalyptic number.

12574218867408 is a gapful number since it is divisible by the number (18) 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 12574218867408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20134981966176).

12574218867408 is an abundant number, since it is smaller than the sum of its proper divisors (27695745064944).

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

12574218867408 is a wasteful number, since it uses less digits than its factorization.

12574218867408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 12574218867408 in words is "twelve trillion, five hundred seventy-four billion, two hundred eighteen million, eight hundred sixty-seven thousand, four hundred eight".