212462816551392 has 384 divisors, whose sum is σ = 642207657434112. Its totient is φ = 60874503782400.

The previous prime is 212462816551373. The next prime is 212462816551393. The reversal of 212462816551392 is 293155618264212.

212462816551392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212462816551393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023611142 + ... + 1023818682.

It is an arithmetic number, because the mean of its divisors is an integer number (1672415774568).

Almost surely, 2^{212462816551392} is an apocalyptic number.

212462816551392 is a gapful number since it is divisible by the number (22) 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 212462816551392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321103828717056).

212462816551392 is an abundant number, since it is smaller than the sum of its proper divisors (429744840882720).

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

212462816551392 is a wasteful number, since it uses less digits than its factorization.

212462816551392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208074 (or 208066 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 212462816551392 in words is "two hundred twelve trillion, four hundred sixty-two billion, eight hundred sixteen million, five hundred fifty-one thousand, three hundred ninety-two".