214613637700 has 144 divisors (see below), whose sum is σ = 581560777728. Its totient is φ = 66785040000.

The previous prime is 214613637691. The next prime is 214613637809. The reversal of 214613637700 is 7736316412.

It is a super-2 number, since 2×214613637700² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4836615 + ... + 4880785.

It is an arithmetic number, because the mean of its divisors is an integer number (4038616512).

Almost surely, 2^214613637700 is an apocalyptic number.

214613637700 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 214613637700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290780388864).

214613637700 is an abundant number, since it is smaller than the sum of its proper divisors (366947140028).

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

214613637700 is a wasteful number, since it uses less digits than its factorization.

214613637700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44834 (or 44827 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 214613637700 in words is "two hundred fourteen billion, six hundred thirteen million, six hundred thirty-seven thousand, seven hundred".