216745237800 has 1728 divisors, whose sum is σ = 973187265600. Its totient is φ = 44155238400.

The previous prime is 216745237799. The next prime is 216745237801. The reversal of 216745237800 is 8732547612.

216745237800 is a `hidden beast` number, since 2 + 167 + 452 + 37 + 8 + 0 + 0 = 666.

216745237800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216745237799) and next prime (216745237801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (216745237801) 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 431 ways as a sum of consecutive naturals, for example, 1654543735 + ... + 1654543865.

It is an arithmetic number, because the mean of its divisors is an integer number (563187075).

Almost surely, 2^216745237800 is an apocalyptic number.

216745237800 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 216745237800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486593632800).

216745237800 is an abundant number, since it is smaller than the sum of its proper divisors (756442027800).

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

216745237800 is a wasteful number, since it uses less digits than its factorization.

216745237800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 216745237800 in words is "two hundred sixteen billion, seven hundred forty-five million, two hundred thirty-seven thousand, eight hundred".