214117198000 has 80 divisors (see below), whose sum is σ = 526223149920. Its totient is φ = 84242784000.

The previous prime is 214117197949. The next prime is 214117198027. The reversal of 214117198000 is 891711412.

It is a tau number, because it is divible by the number of its divisors (80).

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, 755530 + ... + 999529.

It is an arithmetic number, because the mean of its divisors is an integer number (6577789374).

Almost surely, 2^214117198000 is an apocalyptic number.

214117198000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214117198000 is an abundant number, since it is smaller than the sum of its proper divisors (312105951920).

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

214117198000 is a wasteful number, since it uses less digits than its factorization.

214117198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755143 (or 1755127 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 214117198000 in words is "two hundred fourteen billion, one hundred seventeen million, one hundred ninety-eight thousand".