214629284961 has 81 divisors (see below), whose sum is σ = 390740993721. Its totient is φ = 113144338944.

The previous prime is 214629284941. The next prime is 214629284971. The reversal of 214629284961 is 169482926412.

The square root of 214629284961 is 463281.

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

214629284961 is a `hidden beast` number, since 2 + 1 + 4 + 62 + 92 + 8 + 496 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8495124561 + 206134160400 = 92169^2 + 454020^2 .

It is not a de Polignac number, because 214629284961 - 2⁵ = 214629284929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214629284898 and 214629284907.

It is not an unprimeable number, because it can be changed into a prime (214629284941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126474865 + ... + 126476561.

Almost surely, 2^214629284961 is an apocalyptic number.

214629284961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214629284961 is the 463281-st square number.

214629284961 is the 231641-st centered octagonal number.

It is an amenable number.

214629284961 is a deficient number, since it is larger than the sum of its proper divisors (176111708760).

214629284961 is an equidigital number, since it uses as much as digits as its factorization.

214629284961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 1720 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 214629284961 in words is "two hundred fourteen billion, six hundred twenty-nine million, two hundred eighty-four thousand, nine hundred sixty-one".