213992850456 has 1024 divisors, whose sum is σ = 802632499200. Its totient is φ = 51217920000.

The previous prime is 213992850397. The next prime is 213992850469. The reversal of 213992850456 is 654058299312.

213992850456 is a `hidden beast` number, since 2 + 139 + 9 + 2 + 8 + 50 + 456 = 666.

213992850456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1120381321 + ... + 1120381511.

It is an arithmetic number, because the mean of its divisors is an integer number (783820800).

Almost surely, 2^213992850456 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 213992850456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401316249600).

213992850456 is an abundant number, since it is smaller than the sum of its proper divisors (588639648744).

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

213992850456 is a wasteful number, since it uses less digits than its factorization.

213992850456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 213992850456 in words is "two hundred thirteen billion, nine hundred ninety-two million, eight hundred fifty thousand, four hundred fifty-six".