214514689140 has 72 divisors (see below), whose sum is σ = 650762385000. Its totient is φ = 57197954304.

The previous prime is 214514689027. The next prime is 214514689157. The reversal of 214514689140 is 41986415412.

214514689140 is a `hidden beast` number, since 2 + 1 + 4 + 514 + 6 + 8 + 91 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15231015396 + 199283673744 = 123414^2 + 446412^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828986 + ... + 1942734.

Almost surely, 2^214514689140 is an apocalyptic number.

214514689140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214514689140 is an abundant number, since it is smaller than the sum of its proper divisors (436247695860).

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

214514689140 is a wasteful number, since it uses less digits than its factorization.

214514689140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124241 (or 124236 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 214514689140 in words is "two hundred fourteen billion, five hundred fourteen million, six hundred eighty-nine thousand, one hundred forty".