12857301861264 has 1485 divisors, whose sum is σ = 47711769989841. Its totient is φ = 3345895848960.

The previous prime is 12857301861203. The next prime is 12857301861293. The reversal of 12857301861264 is 46216810375821.

It is a happy number.

The square root of 12857301861264 is 3585708.

It is a perfect power (a square), and thus also a powerful number.

12857301861264 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 7 + 3 + 0 + 18 + 612 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10010010099600 + 2847291761664 = 3163860^2 + 1687392^2 .

It is a super-2 number, since 2×12857301861264² (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 a self number, because there is not a number n which added to its sum of digits gives 12857301861264.

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 296 ways as a sum of consecutive naturals, for example, 414751672929 + ... + 414751672959.

Almost surely, 2^{12857301861264} is an apocalyptic number.

12857301861264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12857301861264 is the 3585708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12857301861264

12857301861264 is an abundant number, since it is smaller than the sum of its proper divisors (34854468128577).

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

12857301861264 is an frugal number, since it uses more digits than its factorization.

12857301861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12857301861264 in words is "twelve trillion, eight hundred fifty-seven billion, three hundred one million, eight hundred sixty-one thousand, two hundred sixty-four".