212393706807744 has 5376 divisors, whose sum is σ = 899004137472000. Its totient is φ = 48649144320000.

The previous prime is 212393706807691. The next prime is 212393706807767. The reversal of 212393706807744 is 447708607393212.

212393706807744 is a `hidden beast` number, since 2 + 12 + 393 + 70 + 68 + 0 + 77 + 44 = 666.

It is a super-2 number, since 2×212393706807744² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2991460659229 + ... + 2991460659299.

It is an arithmetic number, because the mean of its divisors is an integer number (167225472000).

Almost surely, 2^{212393706807744} is an apocalyptic number.

212393706807744 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 212393706807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449502068736000).

212393706807744 is an abundant number, since it is smaller than the sum of its proper divisors (686610430664256).

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

212393706807744 is a wasteful number, since it uses less digits than its factorization.

212393706807744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 212393706807744 in words is "two hundred twelve trillion, three hundred ninety-three billion, seven hundred six million, eight hundred seven thousand, seven hundred forty-four".