214353515840 has 224 divisors, whose sum is σ = 541919379456. Its totient is φ = 80592906240.

The previous prime is 214353515839. The next prime is 214353515927. The reversal of 214353515840 is 48515353412.

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 31 ways as a sum of consecutive naturals, for example, 128894849 + ... + 128896511.

It is an arithmetic number, because the mean of its divisors is an integer number (2419282944).

Almost surely, 2^214353515840 is an apocalyptic number.

214353515840 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 214353515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270959689728).

214353515840 is an abundant number, since it is smaller than the sum of its proper divisors (327565863616).

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

214353515840 is a wasteful number, since it uses less digits than its factorization.

214353515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 214353515840 in words is "two hundred fourteen billion, three hundred fifty-three million, five hundred fifteen thousand, eight hundred forty".