213946500096 has 462 divisors, whose sum is σ = 746051359950. Its totient is φ = 61117120512.

The previous prime is 213946500083. The next prime is 213946500121. The reversal of 213946500096 is 690005649312.

213946500096 is a `hidden beast` number, since 2 + 13 + 9 + 46 + 500 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169138077696 + 44808422400 = 411264^2 + 211680^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36575380 + ... + 36581228.

Almost surely, 2^213946500096 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 213946500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373025679975).

213946500096 is an abundant number, since it is smaller than the sum of its proper divisors (532104859854).

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

213946500096 is an frugal number, since it uses more digits than its factorization.

213946500096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 213946500096 in words is "two hundred thirteen billion, nine hundred forty-six million, five hundred thousand, ninety-six".