214618868100 has 1944 divisors, whose sum is σ = 957183376968. Its totient is φ = 39713587200.

The previous prime is 214618868077. The next prime is 214618868129. The reversal of 214618868100 is 1868816412.

214618868100 is a `hidden beast` number, since 2 + 1 + 461 + 8 + 86 + 8 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 128380323204 + 86238544896 = 358302^2 + 293664^2 .

It is a super-2 number, since 2×214618868100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 3518342070 + ... + 3518342130.

Almost surely, 2^214618868100 is an apocalyptic number.

214618868100 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 214618868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478591688484).

214618868100 is an abundant number, since it is smaller than the sum of its proper divisors (742564508868).

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

214618868100 is a wasteful number, since it uses less digits than its factorization.

214618868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 214618868100 in words is "two hundred fourteen billion, six hundred eighteen million, eight hundred sixty-eight thousand, one hundred".