214190333856 has 192 divisors, whose sum is σ = 633712343040. Its totient is φ = 70373318400.

The previous prime is 214190333843. The next prime is 214190333867. The reversal of 214190333856 is 658333091412.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 33199431 + ... + 33205881.

It is an arithmetic number, because the mean of its divisors is an integer number (3300585120).

Almost surely, 2^214190333856 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 214190333856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316856171520).

214190333856 is an abundant number, since it is smaller than the sum of its proper divisors (419522009184).

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

214190333856 is a wasteful number, since it uses less digits than its factorization.

214190333856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 214190333856 in words is "two hundred fourteen billion, one hundred ninety million, three hundred thirty-three thousand, eight hundred fifty-six".