213914950920 has 768 divisors, whose sum is σ = 843251834880. Its totient is φ = 48242304000.

The previous prime is 213914950891. The next prime is 213914950933. The reversal of 213914950920 is 29059419312.

213914950920 is a `hidden beast` number, since 2 + 13 + 91 + 49 + 509 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90987745 + ... + 90990095.

It is an arithmetic number, because the mean of its divisors is an integer number (1097984160).

Almost surely, 2^213914950920 is an apocalyptic number.

213914950920 is a gapful number since it is divisible by the number (20) 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 213914950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421625917440).

213914950920 is an abundant number, since it is smaller than the sum of its proper divisors (629336883960).

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

213914950920 is a wasteful number, since it uses less digits than its factorization.

213914950920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 213914950920 in words is "two hundred thirteen billion, nine hundred fourteen million, nine hundred fifty thousand, nine hundred twenty".