213874408480 has 24 divisors (see below), whose sum is σ = 505278290412. Its totient is φ = 85549763328.

The previous prime is 213874408459. The next prime is 213874408513. The reversal of 213874408480 is 84804478312.

213874408480 is digitally balanced in base 3, 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 209906920336 + 3967488144 = 458156^2 + 62988^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668357367 + ... + 668357686.

Almost surely, 2^213874408480 is an apocalyptic number.

213874408480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213874408480 is an abundant number, since it is smaller than the sum of its proper divisors (291403881932).

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

213874408480 is a wasteful number, since it uses less digits than its factorization.

213874408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336715068 (or 1336715060 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 49.

The spelling of 213874408480 in words is "two hundred thirteen billion, eight hundred seventy-four million, four hundred eight thousand, four hundred eighty".