214323513840 has 320 divisors, whose sum is σ = 792669265920. Its totient is φ = 53032734720.

The previous prime is 214323513787. The next prime is 214323513863. The reversal of 214323513840 is 48315323412.

214323513840 is a `hidden beast` number, since 2 + 1 + 43 + 23 + 513 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214323513795 and 214323513804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2566017 + ... + 2648223.

It is an arithmetic number, because the mean of its divisors is an integer number (2477091456).

Almost surely, 2^214323513840 is an apocalyptic number.

214323513840 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 214323513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396334632960).

214323513840 is an abundant number, since it is smaller than the sum of its proper divisors (578345752080).

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

214323513840 is a wasteful number, since it uses less digits than its factorization.

214323513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82317 (or 82305 counting only the distinct ones).

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

The spelling of 214323513840 in words is "two hundred fourteen billion, three hundred twenty-three million, five hundred thirteen thousand, eight hundred forty".