212761444896 has 1728 divisors, whose sum is σ = 903484108800. Its totient is φ = 46506700800.

The previous prime is 212761444837. The next prime is 212761444919. The reversal of 212761444896 is 698444167212.

212761444896 is a `hidden beast` number, since 2 + 12 + 7 + 6 + 144 + 489 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1188611335 + ... + 1188611513.

It is an arithmetic number, because the mean of its divisors is an integer number (522849600).

Almost surely, 2^212761444896 is an apocalyptic number.

212761444896 is a gapful number since it is divisible by the number (26) 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 212761444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451742054400).

212761444896 is an abundant number, since it is smaller than the sum of its proper divisors (690722663904).

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

212761444896 is a wasteful number, since it uses less digits than its factorization.

212761444896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 212761444896 in words is "two hundred twelve billion, seven hundred sixty-one million, four hundred forty-four thousand, eight hundred ninety-six".