216137645000 has 80 divisors (see below), whose sum is σ = 513969664560. Its totient is φ = 85164552000.

The previous prime is 216137644979. The next prime is 216137645027. The reversal of 216137645000 is 546731612.

It is a super-3 number, since 3×216137645000³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12407 + ... + 657593.

It is an arithmetic number, because the mean of its divisors is an integer number (6424620807).

Almost surely, 2^216137645000 is an apocalyptic number.

216137645000 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 216137645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256984832280).

216137645000 is an abundant number, since it is smaller than the sum of its proper divisors (297832019560).

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

216137645000 is an equidigital number, since it uses as much as digits as its factorization.

216137645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645280 (or 645261 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 216137645000 in words is "two hundred sixteen billion, one hundred thirty-seven million, six hundred forty-five thousand".