214716680100 has 648 divisors, whose sum is σ = 773125516800. Its totient is φ = 49681382400.

The previous prime is 214716680071. The next prime is 214716680107. The reversal of 214716680100 is 1086617412.

It is a happy number.

214716680100 is a `hidden beast` number, since 2 + 1 + 471 + 6 + 6 + 80 + 100 = 666.

It is a super-2 number, since 2×214716680100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214716680107) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 551970706 + ... + 551971094.

Almost surely, 2^214716680100 is an apocalyptic number.

214716680100 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 214716680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386562758400).

214716680100 is an abundant number, since it is smaller than the sum of its proper divisors (558408836700).

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

214716680100 is a wasteful number, since it uses less digits than its factorization.

214716680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 214716680100 in words is "two hundred fourteen billion, seven hundred sixteen million, six hundred eighty thousand, one hundred".