214138349568000 has 6720 divisors, whose sum is σ = 1013711745795840. Its totient is φ = 44335890432000.

The previous prime is 214138349567953. The next prime is 214138349568041. The reversal of 214138349568000 is 865943831412.

It is a happy number.

214138349568000 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 38 + 3 + 49 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3629463551971 + ... + 3629463552029.

It is an arithmetic number, because the mean of its divisors is an integer number (150849962172).

Almost surely, 2^{214138349568000} is an apocalyptic number.

214138349568000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214138349568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506855872897920).

214138349568000 is an abundant number, since it is smaller than the sum of its proper divisors (799573396227840).

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

214138349568000 is an equidigital number, since it uses as much as digits as its factorization.

214138349568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 214138349568000 in words is "two hundred fourteen trillion, one hundred thirty-eight billion, three hundred forty-nine million, five hundred sixty-eight thousand".