214831033050816 has 784 divisors, whose sum is σ = 792861567074304. Its totient is φ = 56212461139968.

The previous prime is 214831033050787. The next prime is 214831033050827. The reversal of 214831033050816 is 618050330138412.

It is a happy number.

214831033050816 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 3 + 103 + 30 + 508 + 1 + 6 = 666.

214831033050816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 539004181 + ... + 539402603.

Almost surely, 2^{214831033050816} is an apocalyptic number.

214831033050816 is a gapful number since it is divisible by the number (26) 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 214831033050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396430783537152).

214831033050816 is an abundant number, since it is smaller than the sum of its proper divisors (578030534023488).

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

214831033050816 is a wasteful number, since it uses less digits than its factorization.

214831033050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398600 (or 398575 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 214831033050816 in words is "two hundred fourteen trillion, eight hundred thirty-one billion, thirty-three million, fifty thousand, eight hundred sixteen".