216454134420 has 36 divisors (see below), whose sum is σ = 656577541620. Its totient is φ = 57721102464.

The previous prime is 216454134349. The next prime is 216454134427. The reversal of 216454134420 is 24431454612.

216454134420 is a `hidden beast` number, since 2 + 1 + 64 + 541 + 34 + 4 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26738136324 + 189715998096 = 163518^2 + 435564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×216454134420² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216454134427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601261305 + ... + 601261664.

It is an arithmetic number, because the mean of its divisors is an integer number (18238265045).

Almost surely, 2^216454134420 is an apocalyptic number.

216454134420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216454134420 is an abundant number, since it is smaller than the sum of its proper divisors (440123407200).

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

216454134420 is a wasteful number, since it uses less digits than its factorization.

216454134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202522984 (or 1202522979 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 216454134420 in words is "two hundred sixteen billion, four hundred fifty-four million, one hundred thirty-four thousand, four hundred twenty".