214014199056 has 160 divisors (see below), whose sum is σ = 638404377600. Its totient is φ = 60515320320.

The previous prime is 214014199051. The next prime is 214014199067. The reversal of 214014199056 is 650991410412.

It is a happy number.

It is a super-2 number, since 2×214014199056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 214014198999 and 214014199017.

It is not an unprimeable number, because it can be changed into a prime (214014199051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16675650 + ... + 16688478.

It is an arithmetic number, because the mean of its divisors is an integer number (3990027360).

Almost surely, 2^214014199056 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 214014199056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319202188800).

214014199056 is an abundant number, since it is smaller than the sum of its proper divisors (424390178544).

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

214014199056 is a wasteful number, since it uses less digits than its factorization.

214014199056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357 (or 13351 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 214014199056 in words is "two hundred fourteen billion, fourteen million, one hundred ninety-nine thousand, fifty-six".