213254384845824 has 891 divisors, whose sum is σ = 741210071360733. Its totient is φ = 58880231424000.

The previous prime is 213254384845807. The next prime is 213254384845877. The reversal of 213254384845824 is 428548483452312.

The square root of 213254384845824 is 14603232.

It is a perfect power (a square), and thus also a powerful number.

213254384845824 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 5 + 4 + 3 + 8 + 48 + 4 + 582 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183917862503424 + 29336522342400 = 13561632^2 + 5416320^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 304214528674 + ... + 304214529374.

Almost surely, 2^{213254384845824} is an apocalyptic number.

213254384845824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

213254384845824 is the 14603232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213254384845824

213254384845824 is an abundant number, since it is smaller than the sum of its proper divisors (527955686514909).

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

213254384845824 is an frugal number, since it uses more digits than its factorization.

213254384845824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 744 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 63.

The spelling of 213254384845824 in words is "two hundred thirteen trillion, two hundred fifty-four billion, three hundred eighty-four million, eight hundred forty-five thousand, eight hundred twenty-four".