214210050768 has 200 divisors, whose sum is σ = 708874182720. Its totient is φ = 61175347200.

The previous prime is 214210050739. The next prime is 214210050773. The reversal of 214210050768 is 867050012412.

214210050768 is a `hidden beast` number, since 2 + 1 + 42 + 100 + 507 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28745443 + ... + 28752893.

Almost surely, 2^214210050768 is an apocalyptic number.

214210050768 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 214210050768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354437091360).

214210050768 is an abundant number, since it is smaller than the sum of its proper divisors (494664131952).

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

214210050768 is a wasteful number, since it uses less digits than its factorization.

214210050768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10647 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 214210050768 in words is "two hundred fourteen billion, two hundred ten million, fifty thousand, seven hundred sixty-eight".