213271477140456 has 192 divisors, whose sum is σ = 662246973722880. Its totient is φ = 60739239398400.

The previous prime is 213271477140451. The next prime is 213271477140503. The reversal of 213271477140456 is 654041774172312.

213271477140456 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 7 + 1 + 47 + 7 + 140 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (213271477140451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195434770 + ... + 196523006.

It is an arithmetic number, because the mean of its divisors is an integer number (3449202988140).

Almost surely, 2^{213271477140456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213271477140456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331123486861440).

213271477140456 is an abundant number, since it is smaller than the sum of its proper divisors (448975496582424).

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

213271477140456 is a wasteful number, since it uses less digits than its factorization.

213271477140456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089504 (or 1089497 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 213271477140456 in words is "two hundred thirteen trillion, two hundred seventy-one billion, four hundred seventy-seven million, one hundred forty thousand, four hundred fifty-six".