214556116401 has 24 divisors (see below), whose sum is σ = 355882556640. Its totient is φ = 123190113600.

The previous prime is 214556116393. The next prime is 214556116421. The reversal of 214556116401 is 104611655412.

214556116401 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 5 + 6 + 1 + 1 + 640 + 1 = 666.

It is not a de Polignac number, because 214556116401 - 2³ = 214556116393 is a prime.

It is a super-2 number, since 2×214556116401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214556116421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57030580 + ... + 57034341.

It is an arithmetic number, because the mean of its divisors is an integer number (14828439860).

Almost surely, 2^214556116401 is an apocalyptic number.

It is an amenable number.

214556116401 is a deficient number, since it is larger than the sum of its proper divisors (141326440239).

214556116401 is a wasteful number, since it uses less digits than its factorization.

214556116401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114064957 (or 114064954 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 214556116401 in words is "two hundred fourteen billion, five hundred fifty-six million, one hundred sixteen thousand, four hundred one".