214616747620 has 192 divisors, whose sum is σ = 528028139520. Its totient is φ = 72486374400.

The previous prime is 214616747599. The next prime is 214616747623. The reversal of 214616747620 is 26747616412.

214616747620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (214616747623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46261261 + ... + 46265899.

It is an arithmetic number, because the mean of its divisors is an integer number (2750146560).

Almost surely, 2^214616747620 is an apocalyptic number.

214616747620 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 214616747620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264014069760).

214616747620 is an abundant number, since it is smaller than the sum of its proper divisors (313411391900).

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

214616747620 is a wasteful number, since it uses less digits than its factorization.

214616747620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 214616747620 in words is "two hundred fourteen billion, six hundred sixteen million, seven hundred forty-seven thousand, six hundred twenty".