214433151264 has 36 divisors (see below), whose sum is σ = 609794274726. Its totient is φ = 71477716992.

The previous prime is 214433151241. The next prime is 214433151271. The reversal of 214433151264 is 462151334412.

214433151264 is a `hidden beast` number, since 2 + 1 + 443 + 3 + 151 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175745408400 + 38687742864 = 419220^2 + 196692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×214433151264² (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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 372279489 + ... + 372280064.

Almost surely, 2^214433151264 is an apocalyptic number.

214433151264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214433151264 is an abundant number, since it is smaller than the sum of its proper divisors (395361123462).

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

214433151264 is a wasteful number, since it uses less digits than its factorization.

214433151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744559569 (or 744559558 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 214433151264 its reverse (462151334412), we get a palindrome (676584485676).

The spelling of 214433151264 in words is "two hundred fourteen billion, four hundred thirty-three million, one hundred fifty-one thousand, two hundred sixty-four".