216844830469440 has 168 divisors, whose sum is σ = 745916778252360. Its totient is φ = 57820565581824.

The previous prime is 216844830469373. The next prime is 216844830469451. The reversal of 216844830469440 is 44964038448612.

216844830469440 is a `hidden beast` number, since 2 + 1 + 6 + 84 + 48 + 30 + 46 + 9 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112093208158464 + 104751622310976 = 10587408^2 + 10234824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32266282 + ... + 38403158.

Almost surely, 2^{216844830469440} is an apocalyptic number.

216844830469440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216844830469440 is an abundant number, since it is smaller than the sum of its proper divisors (529071947782920).

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

216844830469440 is a wasteful number, since it uses less digits than its factorization.

216844830469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149169 (or 6149156 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 216844830469440 in words is "two hundred sixteen trillion, eight hundred forty-four billion, eight hundred thirty million, four hundred sixty-nine thousand, four hundred forty".