216431431163304 has 256 divisors, whose sum is σ = 644400230400000. Its totient is φ = 59275635563520.

The previous prime is 216431431163267. The next prime is 216431431163329. The reversal of 216431431163304 is 403361134134612.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 241918197 + ... + 242811195.

It is an arithmetic number, because the mean of its divisors is an integer number (2517188400000).

Almost surely, 2^{216431431163304} is an apocalyptic number.

216431431163304 is a gapful number since it is divisible by the number (24) 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 216431431163304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322200115200000).

216431431163304 is an abundant number, since it is smaller than the sum of its proper divisors (427968799236696).

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

216431431163304 is a wasteful number, since it uses less digits than its factorization.

216431431163304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893488 (or 893484 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 216431431163304 its reverse (403361134134612), we get a palindrome (619792565297916).

The spelling of 216431431163304 in words is "two hundred sixteen trillion, four hundred thirty-one billion, four hundred thirty-one million, one hundred sixty-three thousand, three hundred four".