212485484640 has 1152 divisors, whose sum is σ = 847885086720. Its totient is φ = 44209152000.

The previous prime is 212485484597. The next prime is 212485484683. The reversal of 212485484640 is 46484584212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212485484597) and next prime (212485484683).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 212485484640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1407188565 + ... + 1407188715.

It is an arithmetic number, because the mean of its divisors is an integer number (736011360).

Almost surely, 2^212485484640 is an apocalyptic number.

212485484640 is a gapful number since it is divisible by the number (20) 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 212485484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423942543360).

212485484640 is an abundant number, since it is smaller than the sum of its proper divisors (635399602080).

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

212485484640 is a wasteful number, since it uses less digits than its factorization.

212485484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 212485484640 in words is "two hundred twelve billion, four hundred eighty-five million, four hundred eighty-four thousand, six hundred forty".