212986338651648 has 280 divisors, whose sum is σ = 638697312684288. Its totient is φ = 70922658004992.

The previous prime is 212986338651623. The next prime is 212986338651659. The reversal of 212986338651648 is 846156833689212.

212986338651648 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 8 + 63 + 3 + 8 + 6 + 516 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 364371265 + ... + 364955327.

Almost surely, 2^{212986338651648} 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 212986338651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319348656342144).

212986338651648 is an abundant number, since it is smaller than the sum of its proper divisors (425710974032640).

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

212986338651648 is an frugal number, since it uses more digits than its factorization.

212986338651648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585076 (or 585045 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 212986338651648 in words is "two hundred twelve trillion, nine hundred eighty-six billion, three hundred thirty-eight million, six hundred fifty-one thousand, six hundred forty-eight".