211456348740 has 768 divisors, whose sum is σ = 843149475840. Its totient is φ = 42796615680.

The previous prime is 211456348723. The next prime is 211456348811. The reversal of 211456348740 is 47843654112.

211456348740 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 5 + 634 + 8 + 7 + 4 + 0 = 666.

211456348740 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 193463634 + ... + 193464726.

It is an arithmetic number, because the mean of its divisors is an integer number (1097850880).

Almost surely, 2^211456348740 is an apocalyptic number.

211456348740 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 211456348740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421574737920).

211456348740 is an abundant number, since it is smaller than the sum of its proper divisors (631693127100).

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

211456348740 is a wasteful number, since it uses less digits than its factorization.

211456348740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 211456348740 in words is "two hundred eleven billion, four hundred fifty-six million, three hundred forty-eight thousand, seven hundred forty".