212408469504 has 1152 divisors, whose sum is σ = 831099709440. Its totient is φ = 52553318400.

The previous prime is 212408469499. The next prime is 212408469547. The reversal of 212408469504 is 405964804212.

It is a happy number.

212408469504 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 84 + 69 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 212408469504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 881362824 + ... + 881363064.

It is an arithmetic number, because the mean of its divisors is an integer number (721440720).

Almost surely, 2^212408469504 is an apocalyptic number.

212408469504 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 212408469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415549854720).

212408469504 is an abundant number, since it is smaller than the sum of its proper divisors (618691239936).

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

212408469504 is a wasteful number, since it uses less digits than its factorization.

212408469504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 212408469504 in words is "two hundred twelve billion, four hundred eight million, four hundred sixty-nine thousand, five hundred four".