216346742000 has 240 divisors, whose sum is σ = 541809036288. Its totient is φ = 83524147200.

The previous prime is 216346741973. The next prime is 216346742009. The reversal of 216346742000 is 247643612.

216346742000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216346742009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564873809 + ... + 564874191.

Almost surely, 2^216346742000 is an apocalyptic number.

216346742000 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 216346742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270904518144).

216346742000 is an abundant number, since it is smaller than the sum of its proper divisors (325462294288).

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

216346742000 is an equidigital number, since it uses as much as digits as its factorization.

216346742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 216346742000 in words is "two hundred sixteen billion, three hundred forty-six million, seven hundred forty-two thousand".