213975521424 has 300 divisors, whose sum is σ = 745267059900. Its totient is φ = 59027222016.

The previous prime is 213975521423. The next prime is 213975521447. The reversal of 213975521424 is 424125579312.

213975521424 is a `hidden beast` number, since 2 + 1 + 3 + 97 + 552 + 1 + 4 + 2 + 4 = 666.

213975521424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 68027072400 + 145948449024 = 260820^2 + 382032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213975521424.

It is not an unprimeable number, because it can be changed into a prime (213975521423) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1783522 + ... + 1899710.

It is an arithmetic number, because the mean of its divisors is an integer number (2484223533).

Almost surely, 2^213975521424 is an apocalyptic number.

213975521424 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 213975521424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372633529950).

213975521424 is an abundant number, since it is smaller than the sum of its proper divisors (531291538476).

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

213975521424 is a wasteful number, since it uses less digits than its factorization.

213975521424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116252 (or 116230 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 213975521424 in words is "two hundred thirteen billion, nine hundred seventy-five million, five hundred twenty-one thousand, four hundred twenty-four".