214211104000 has 72 divisors (see below), whose sum is σ = 533626716168. Its totient is φ = 85684428800.

The previous prime is 214211103959. The next prime is 214211104001. The reversal of 214211104000 is 401112412.

It is a happy number.

214211104000 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 8617780224 + 205593323776 = 92832^2 + 453424^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214211104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3315049 + ... + 3379048.

It is an arithmetic number, because the mean of its divisors is an integer number (7411482169).

Almost surely, 2^214211104000 is an apocalyptic number.

214211104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211104000 is an abundant number, since it is smaller than the sum of its proper divisors (319415612168).

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

214211104000 is an frugal number, since it uses more digits than its factorization.

214211104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694128 (or 6694104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 214211104000 its reverse (401112412), we get a palindrome (214612216412).

The spelling of 214211104000 in words is "two hundred fourteen billion, two hundred eleven million, one hundred four thousand".