214193339136 has 216 divisors, whose sum is σ = 720816305664. Its totient is φ = 59895797760.

The previous prime is 214193339099. The next prime is 214193339137. The reversal of 214193339136 is 631933391412.

214193339136 is a `hidden beast` number, since 2 + 141 + 93 + 3 + 391 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214193339091 and 214193339100.

It is not an unprimeable number, because it can be changed into a prime (214193339137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616731 + ... + 899301.

Almost surely, 2^214193339136 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 214193339136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360408152832).

214193339136 is an abundant number, since it is smaller than the sum of its proper divisors (506622966528).

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

214193339136 is a wasteful number, since it uses less digits than its factorization.

214193339136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282647 (or 282630 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The spelling of 214193339136 in words is "two hundred fourteen billion, one hundred ninety-three million, three hundred thirty-nine thousand, one hundred thirty-six".