213505149088 has 96 divisors (see below), whose sum is σ = 524278960128. Its totient is φ = 83148768000.

The previous prime is 213505149083. The next prime is 213505149103. The reversal of 213505149088 is 880941505312.

It is not an unprimeable number, because it can be changed into a prime (213505149083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6268681 + ... + 6302647.

It is an arithmetic number, because the mean of its divisors is an integer number (5461239168).

Almost surely, 2^213505149088 is an apocalyptic number.

213505149088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213505149088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262139480064).

213505149088 is an abundant number, since it is smaller than the sum of its proper divisors (310773811040).

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

213505149088 is a wasteful number, since it uses less digits than its factorization.

213505149088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36546 (or 36538 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 213505149088 in words is "two hundred thirteen billion, five hundred five million, one hundred forty-nine thousand, eighty-eight".