212546480440320 has 5632 divisors, whose sum is σ = 932703176294400. Its totient is φ = 45973642936320.

The previous prime is 212546480440303. The next prime is 212546480440337. The reversal of 212546480440320 is 23044084645212.

212546480440320 is a `hidden beast` number, since 2 + 1 + 2 + 54 + 64 + 80 + 440 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (212546480440303) and next prime (212546480440337).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3172335528927 + ... + 3172335528993.

Almost surely, 2^{212546480440320} is an apocalyptic number.

212546480440320 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 212546480440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466351588147200).

212546480440320 is an abundant number, since it is smaller than the sum of its proper divisors (720156695854080).

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

212546480440320 is a wasteful number, since it uses less digits than its factorization.

212546480440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 212546480440320 in words is "two hundred twelve trillion, five hundred forty-six billion, four hundred eighty million, four hundred forty thousand, three hundred twenty".