213416894016 has 224 divisors, whose sum is σ = 675807436800. Its totient is φ = 65850554880.

The previous prime is 213416893999. The next prime is 213416894023. The reversal of 213416894016 is 610498614312.

213416894016 is a `hidden beast` number, since 213 + 416 + 8 + 9 + 4 + 0 + 16 = 666.

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, 1145455 + ... + 1318673.

Almost surely, 2^213416894016 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 213416894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337903718400).

213416894016 is an abundant number, since it is smaller than the sum of its proper divisors (462390542784).

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

213416894016 is a wasteful number, since it uses less digits than its factorization.

213416894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173294 (or 173278 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 213416894016 in words is "two hundred thirteen billion, four hundred sixteen million, eight hundred ninety-four thousand, sixteen".