213149704495104 has 672 divisors, whose sum is σ = 704499961248720. Its totient is φ = 61611259723776.

The previous prime is 213149704495099. The next prime is 213149704495159. The reversal of 213149704495104 is 401594407941312.

213149704495104 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 97 + 0 + 449 + 5 + 104 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 137103491174400 + 76046213320704 = 11709120^2 + 8720448^2 .

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 47 ways as a sum of consecutive naturals, for example, 1028328244 + ... + 1028535500.

Almost surely, 2^{213149704495104} is an apocalyptic number.

213149704495104 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 213149704495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352249980624360).

213149704495104 is an abundant number, since it is smaller than the sum of its proper divisors (491350256753616).

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

213149704495104 is a wasteful number, since it uses less digits than its factorization.

213149704495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207368 (or 207341 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 213149704495104 in words is "two hundred thirteen trillion, one hundred forty-nine billion, seven hundred four million, four hundred ninety-five thousand, one hundred four".