12641400203454 has 96 divisors (see below), whose sum is σ = 29984662715904. Its totient is φ = 3817283610240.

The previous prime is 12641400203417. The next prime is 12641400203507. The reversal of 12641400203454 is 45430200414621.

12641400203454 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 400 + 203 + 45 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93162682 + ... + 93298274.

It is an arithmetic number, because the mean of its divisors is an integer number (312340236624).

Almost surely, 2^{12641400203454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12641400203454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992331357952).

12641400203454 is an abundant number, since it is smaller than the sum of its proper divisors (17343262512450).

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

12641400203454 is a wasteful number, since it uses less digits than its factorization.

12641400203454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137262 (or 137259 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12641400203454 in words is "twelve trillion, six hundred forty-one billion, four hundred million, two hundred three thousand, four hundred fifty-four".