213528820648 has 128 divisors (see below), whose sum is σ = 476307216000. Its totient is φ = 88462725120.

The previous prime is 213528820597. The next prime is 213528820657. The reversal of 213528820648 is 846028825312.

It is a happy number.

It is a super-2 number, since 2×213528820648² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131240011 + ... + 131241637.

It is an arithmetic number, because the mean of its divisors is an integer number (3721150125).

Almost surely, 2^213528820648 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 213528820648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238153608000).

213528820648 is an abundant number, since it is smaller than the sum of its proper divisors (262778395352).

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

213528820648 is a wasteful number, since it uses less digits than its factorization.

213528820648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 213528820648 in words is "two hundred thirteen billion, five hundred twenty-eight million, eight hundred twenty thousand, six hundred forty-eight".