12893478381001 has 9 divisors (see below), whose sum is σ = 12912123314349. Its totient is φ = 12874860347436.

The previous prime is 12893478380999. The next prime is 12893478381011. The reversal of 12893478381001 is 10018387439821.

The square root of 12893478381001 is 3590749.

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

It is not a de Polignac number, because 12893478381001 - 2¹ = 12893478380999 is a prime.

It is a super-2 number, since 2×12893478381001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12893478381011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2955184246 + ... + 2955188608.

It is an arithmetic number, because the mean of its divisors is an integer number (1434680368261).

Almost surely, 2^{12893478381001} is an apocalyptic number.

12893478381001 is the 3590749-th square number.

12893478381001 is the 1795375-th centered octagonal number.

It is an amenable number.

12893478381001 is a deficient number, since it is larger than the sum of its proper divisors (18644933348).

12893478381001 is an frugal number, since it uses more digits than its factorization.

12893478381001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 12893478381001 in words is "twelve trillion, eight hundred ninety-three billion, four hundred seventy-eight million, three hundred eighty-one thousand, one".