214906962816 has 1536 divisors, whose sum is σ = 866121984000. Its totient is φ = 50548506624.

The previous prime is 214906962733. The next prime is 214906962827. The reversal of 214906962816 is 618269609412.

214906962816 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 0 + 6 + 9 + 628 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2008476235 + ... + 2008476341.

It is an arithmetic number, because the mean of its divisors is an integer number (563881500).

Almost surely, 2^214906962816 is an apocalyptic number.

214906962816 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 214906962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433060992000).

214906962816 is an abundant number, since it is smaller than the sum of its proper divisors (651215021184).

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

214906962816 is a wasteful number, since it uses less digits than its factorization.

214906962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 214906962816 in words is "two hundred fourteen billion, nine hundred six million, nine hundred sixty-two thousand, eight hundred sixteen".