336000214000 has 160 divisors (see below), whose sum is σ = 894918435840. Its totient is φ = 120994848000.

The previous prime is 336000213977. The next prime is 336000214003. The reversal of 336000214000 is 412000633.

It is a super-2 number, since 2×336000214000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336000214003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2191861 + ... + 2340139.

It is an arithmetic number, because the mean of its divisors is an integer number (5593240224).

Almost surely, 2^336000214000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336000214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447459217920).

336000214000 is an abundant number, since it is smaller than the sum of its proper divisors (558918221840).

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

336000214000 is a wasteful number, since it uses less digits than its factorization.

336000214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148416 (or 148400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 336000214000 its reverse (412000633), we get a palindrome (336412214633).

The spelling of 336000214000 in words is "three hundred thirty-six billion, two hundred fourteen thousand".