212903030206944 has 1152 divisors, whose sum is σ = 829004585472000. Its totient is φ = 51853702348800.

The previous prime is 212903030206907. The next prime is 212903030207057. The reversal of 212903030206944 is 449602030309212.

212903030206944 is a `hidden beast` number, since 2 + 12 + 90 + 303 + 0 + 206 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212903030206944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3371407882 + ... + 3371471030.

It is an arithmetic number, because the mean of its divisors is an integer number (719622036000).

Almost surely, 2^{212903030206944} is an apocalyptic number.

212903030206944 is a gapful number since it is divisible by the number (24) 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 212903030206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414502292736000).

212903030206944 is an abundant number, since it is smaller than the sum of its proper divisors (616101555265056).

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

212903030206944 is a wasteful number, since it uses less digits than its factorization.

212903030206944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63485 (or 63460 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 212903030206944 in words is "two hundred twelve trillion, nine hundred three billion, thirty million, two hundred six thousand, nine hundred forty-four".