214114600416 has 96 divisors (see below), whose sum is σ = 584870267520. Its totient is φ = 68530097664.

The previous prime is 214114600397. The next prime is 214114600421. The reversal of 214114600416 is 614006411412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×214114600416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196015 + ... + 683118.

It is an arithmetic number, because the mean of its divisors is an integer number (6092398620).

Almost surely, 2^214114600416 is an apocalyptic number.

It is an amenable number.

214114600416 is an abundant number, since it is smaller than the sum of its proper divisors (370755667104).

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

214114600416 is a wasteful number, since it uses less digits than its factorization.

214114600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879248 (or 879240 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 214114600416 in words is "two hundred fourteen billion, one hundred fourteen million, six hundred thousand, four hundred sixteen".