214322213401000 has 32 divisors (see below), whose sum is σ = 501513979360680. Its totient is φ = 85728885360000.

The previous prime is 214322213400989. The next prime is 214322213401003. The reversal of 214322213401000 is 104312223412.

214322213401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77982074916516 + 136340138484484 = 8830746^2 + 11676478^2 .

It is a super-2 number, since 2×214322213401000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (214322213401003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107161105701 + ... + 107161107700.

Almost surely, 2^{214322213401000} is an apocalyptic number.

214322213401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214322213401000 is an abundant number, since it is smaller than the sum of its proper divisors (287191765959680).

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

214322213401000 is a wasteful number, since it uses less digits than its factorization.

214322213401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214322213422 (or 214322213408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214322213401000 its reverse (104312223412), we get a palindrome (214426525624412).

The spelling of 214322213401000 in words is "two hundred fourteen trillion, three hundred twenty-two billion, two hundred thirteen million, four hundred one thousand".