214035399816 has 256 divisors, whose sum is σ = 653266944000. Its totient is φ = 58341830400.

The previous prime is 214035399793. The next prime is 214035399833. The reversal of 214035399816 is 618993530412.

It is a super-2 number, since 2×214035399816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18112726 + ... + 18124538.

It is an arithmetic number, because the mean of its divisors is an integer number (2551824000).

Almost surely, 2^214035399816 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 214035399816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326633472000).

214035399816 is an abundant number, since it is smaller than the sum of its proper divisors (439231544184).

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

214035399816 is a wasteful number, since it uses less digits than its factorization.

214035399816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11927 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 214035399816 in words is "two hundred fourteen billion, thirty-five million, three hundred ninety-nine thousand, eight hundred sixteen".