212942623804416 has 1760 divisors, whose sum is σ = 740180063335680. Its totient is φ = 60359078707200.

The previous prime is 212942623804411. The next prime is 212942623804429. The reversal of 212942623804416 is 614408326249212.

212942623804416 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 4 + 2 + 623 + 8 + 0 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×212942623804416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (212942623804411) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 433691697931 + ... + 433691698421.

It is an arithmetic number, because the mean of its divisors is an integer number (420556854168).

Almost surely, 2^{212942623804416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212942623804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370090031667840).

212942623804416 is an abundant number, since it is smaller than the sum of its proper divisors (527237439531264).

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

212942623804416 is a wasteful number, since it uses less digits than its factorization.

212942623804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 212942623804416 in words is "two hundred twelve trillion, nine hundred forty-two billion, six hundred twenty-three million, eight hundred four thousand, four hundred sixteen".