214207906276 has 81 divisors (see below), whose sum is σ = 472375668681. Its totient is φ = 84708265824.

The previous prime is 214207906271. The next prime is 214207906303. The reversal of 214207906276 is 672609702412.

It is a happy number.

The square root of 214207906276 is 462826.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31687560100 + 182520346176 = 178010^2 + 427224^2 .

It is a super-3 number, since 3×214207906276³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (214207906271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84233061 + ... + 84235603.

Almost surely, 2^214207906276 is an apocalyptic number.

214207906276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

214207906276 is the 462826-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214207906276

214207906276 is an abundant number, since it is smaller than the sum of its proper divisors (258167762405).

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

214207906276 is an equidigital number, since it uses as much as digits as its factorization.

214207906276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 214207906276 in words is "two hundred fourteen billion, two hundred seven million, nine hundred six thousand, two hundred seventy-six".