213364194990480 has 400 divisors, whose sum is σ = 785590087480704. Its totient is φ = 53485139496960.

The previous prime is 213364194990451. The next prime is 213364194990487. The reversal of 213364194990480 is 84099491463312.

213364194990480 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 64 + 1 + 9 + 4 + 9 + 90 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (213364194990487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89484975 + ... + 91838385.

Almost surely, 2^{213364194990480} is an apocalyptic number.

213364194990480 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 213364194990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392795043740352).

213364194990480 is an abundant number, since it is smaller than the sum of its proper divisors (572225892490224).

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

213364194990480 is a wasteful number, since it uses less digits than its factorization.

213364194990480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354276 (or 2354261 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 213364194990480 in words is "two hundred thirteen trillion, three hundred sixty-four billion, one hundred ninety-four million, nine hundred ninety thousand, four hundred eighty".